You are playing blackjack and want to know the probability of getting dealt certain cards. In blackjack two cards are drawn from a deck, the first is dealt to you face down and the second is dealt face up. Using the product rule, find the probability that (a) The bottom card is an ace or a king and the top card is red. (b) Both of the cards are clubs. (c) At least one of the cards is a jack.

Answers

Answer 1

Answer:

The correct answer is:

(a) 0.0784

(b) 0.0588

(c) 0.1493

Step-by-step explanation:

According to the question,

Number or ace or king,

n (ace or king) = 8

Number of red,

n (red) = 26

Number of club,

n (club) = 13

Number or jack,

n (jack) = 4

(a)

Probability of 1st ace or king and 2nd in red will be:

⇒ [tex]P(ist \ ace \ or \ king \ and \ 2nd \ red) = \frac{8}{52}\times\frac{26}{51}[/tex]

⇒                                                    [tex]=0.0784[/tex]

(b)

Probability of both clubs will be:

⇒ [tex]P(clubs) =\frac{13C_2}{52C_2}[/tex]

⇒                [tex]=0.0588[/tex]

(c)

Probability of at least one is jack will be:

⇒ [tex]P(at \ least \ one \ is \ jack)=1-P(none \ jack)[/tex]

⇒                                       [tex]=1-\frac{48C_2}{52C_2}[/tex]

⇒                                       [tex]=0.1493[/tex]


Related Questions

11 4/5 + 3 5/6 and you have to add

Answers

Answer:

15 19/30

Step-by-step explanation:

Fraction: 15 19/30 decimal: 15.633333

What does the slope of the function represent?

Answers

Answer:

Hello there!

Your answer is,

The slope of the function represents a steady growth in the amount of money in the cash register after each sale.

Step-by-step explanation:

After they sell a cup of lemonade the graph goes up to represent the money they got and put into the register after the sale.

Brust takes his cut (one-fourth) of the Algebros profit from selling fidget spinners to the store and bought 10 donuts for $12. He came home with more than $3.00.

a.) Write an inequality that represents the situation and use it to find out how much money the Algebros had made from selling fidget spinners. Make sure you define your variables.



(Thank you so much if you help me! I will mark you brainliest and give thanks)

Answers

Answer:

Step-by-step explanation:

D = Donuts

B = Brust cut

P = Profit

B - 12D = $3

12D = $12 a donut, used $3 since it didnt say more than 3.

Plug it in

B - 12(10) = $3

B - 120 = 3

  +120    +120

B= $123

If Brust had 1/4 of the profit, do 4B to find profit

4B = P

4(123) = P

P = $492

Algebros made $492 selling fidget spinners.

The minimum possible profit for Algebros would be $60

What is the general equation of a Straight line inequality?

An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value. The general equation of a straight line inequality is -

[y] < [m]x + [c]

[y] > [m]x + [c]

[y] ≥ [m]x + [c]

[y] ≤ [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line inequality can be also written as -

Ax + By + C > 0

By > - Ax - C

y > (- A/B)x - (C/A)

Given is Brust who took his cut (one-fourth) of the Algebros profit from selling fidget spinners to the store and bought 10 donuts for $12. He came home with more than $3.00.

Assume that Algebros had made $x profit. Then, we can write the  inequality as -

x/4 - 12 > 3

On solving, we get -

x/4 > 15

x > 60

Therefore, the minimum possible profit for Algebros would be $60

To solve more questions on inequalities, visit the link below -

brainly.com/question/1782515

#SPJ5

What is the sum of 1 and 2?

Answers

Answer:

3

Step-by-step explanation:

[tex]1 + 2 = 3[/tex]

answer= 3

look at the screenshot i posted :) i need help

Answers

Answer:

either

Step-by-step explanation:

not sure what your options are, but XYZ & ABC are the same in price per member, so either club is good

⦁ Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as .

Answers

Answer:

u can be using it at perpendicular and place it's center on point A

hope that helps a bit-

What is the slope y, equals, x, plus, 5?

Answers

Answer:

slope = m = 1

Step-by-step explanation:

y = x + 5

slope intercept form is y = mx + b, where m is the slope.

in this case, the m = 1; therefore, the slope is 1

1/5 is the slope. Hope this helps

3x-47=180 solve for x

Answers

Answer:

x=75.66

Step-by-step explanation:

+47  180+47

3x=227

divide 3 on each side

x=75.66

3x-47=180

add 47 to both sides

3x=227

divide by 3

x= 75 2/3

2x-5/3+x/4=1 ?????????

Answers

Answer:

X= 32/27

Step-by-step explanation:

..................that much only..........

HELPPP PLEASE ILL GIVE BRAINLIEST

Answers

Answer:

D. 13 x 9

Step-by-step explanation:

12 11/16 is closer to 13 than 12.

8 3/4 is closer to 9 than 8.

Hopefully this helps!

Brainliest please?

Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounces of milk does Monica use?
(A) 0.5 fluid oz.
(B) 1 fluid oz.
(C) 1.5 fluid oz.
(D) 3 fluid oz.
(Also no fractions included and please help meh know please)

Answers

Answer:

b b b b b b b b b b b b b b b b b b b b b b

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Write the fraction in simplest form.
6/22=?

Answers

Answer:

3/11

Step-by-step explanation:

Divide both the numerator and denominator by 2.

[tex]\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}[/tex]

-8/7 + (-2/3)
HELPP Mee

Answers

Step-by-step explanation:

-(38/21)

that is the answer

Answer:

-38/21, or 1 17/21

Step-by-step explanation:

To add, we need to change the denominators to be the same. The least common denominator is 21. -8/7 is equal -24/21, and -2/3 is equal to -14/21. If we add these we get -38/21, or 1 17/21.

2. Arcadia charges players a $15 admission fee to their gaming centre and $5 per game.

b) What is the rate of change for the relation between total cost and number of games and what is its
meaning in this relation?

c) What is the initial value for this relation and what is its meaning?

Answers

Answer:

1) The relationship is times 3

2) it is 5x3 so this the teh relation

Step-by-step explanation:

I got 100% in the question and qiz

5 A triangle has a base length of 2x cm and a height of (x - 3) cm. If its area
is 18 cm², calculate its height and base length.

Answers

Answer:

base = 12; height = 3

Step-by-step explanation:

Area: ( b x h ) / 2

base: 2x

height: (x - 3)

---------------------------------

( ( 2x )*( x - 3 ) )/ 2 = 18

( 2x ^2 - 6x ) = 36

2x ^2 - 6x - 36 = 0

(quadratic formula)

x = 6

x = -3

---------------------------------

taking the positive value : x = 6

---------------------------------

base: 2x = 2(6) = 12

height: x - 3 = 6 - 3 = 3

1. translation 6 units left and 3 units down
Image
A'
Preimage
A (1,7)
B (7,7)
C (7,4)
D (1,4)
B'
C
D

Answers

Answer:

A’(-5,4)

B’ (1, 4)

c’ (1,1)

d’ (-5, 1)

Step-by-step explanation:

Assume three cards are drawn in succession and without replacement from an ordinary
deck of 52 cards. Find the probability of drawing a jack, a non-face card, and another
jack, in that order.
O A. 0.00483
OB. 0.00362
O C. 0.00341
OD.0.01086

Answers

Answer:O A. 0.00483

Step-by-step explanation:

               

6 + blank = 4 what is the blank part

Answers

Answer:

-10 also I POSTED A MATH PROBLEM PLS HELP IF U CAN!! :)

the answer is -2.

6 + ? = 4

6 + -2 = 4 is basically the same thing as saying 6 - 2 = 4 :)

A line has a slope of 53. Which of the following points could this line pass through?

Answers

Answer:

Since the slope of the line is reciprocal to the given slope, then the line with a slope of 5/3 passes through the points (5, 7) and (10, 10).

The formula for calculating the slope of a line is expressed as:

We need to get the points that could pass through the line

Looking at the coordinate of option D (5, 7) and (10, 10). Get the slope:

Since the slope of the line is reciprocal to the given slope, then the line with a slope of 5/3 passes through the points (5, 7) and (10, 10).

Step-by-step explanation:

Answer:

hi I'm Andrew and I will get back to your question

in football, the team that has the ball has four chances to gain at least ten yards. if they don't gain at least ten yards, the other team gets the ball. positive numbers represent a gain and negative numbers represent loss. select all of the sequences of four plays that result in the team getting the ball. A. 8, -3, 4, 21. B. 30, -7, -8, -12 C. 2, 16, -5, -3.

Answers

Answer:

A) would keep ball and end with ball

B) would get first down but lose ball if yards aren't gained

C) would get first down but lose ball if yards aren't gained

Step-by-step explanation:

this question really doesn't make sense, most would end with a first down and have one more play to make up

For students for parents for teachers Honor code Brainly what is the value of the angle of the color of the number divided by the donut you ate earlier

Answers

Answer:

wgdhqbdhbhjx

Step-by-step explanation:

djwefhejidehjeicbj

hbdahbcdhicb

cdhigcuyhbcdidbchbhcbdhc

dhcidicbhbchudnhicenibchiudbcui

dihcbhibchinciniheucdcnunc

simplify the expression 2(xy+2x)-3xy​

Answers

Answer: Simplify each term.

Tap for more steps...

4

x

2

6

x

y

+

6

y

x

9

y

2

Add  

6

x

y

and  

6

y

x

.

4

x

2

+

0

9

y

2

Add  

4

x

2

and  

0

.

4

x

2

9

y

2

Step-by-step explanation:

Answer:

1. 4x-xy

Step-by-step explanation:

2(xy+2x)-3xy=2xy+4x-3xy

=-xy+4x

=4x-xy

Question 6(Multiple Choice Worth 1 points)
(05.03 LC)
What is the initial value of the equation shown?
y = - 4x - 3
0-4
0-3
03
04

Answers

For that I got -3/4

please help me asap and show your work

Answers

Answer:

We need a question

Step-by-step explanation:

we indeed need the formula

Solve the equation:
3x + 2 = 6x - 7

Answers

x = 3 my answer needs to be 20 characters

Answer:

x=3

Step-by-step explanation:

1) Subtract 3x from both sides

2 = 6x - 7 - 3x

2) Simplify 6x - 7 - 3x  to 3x - 7

2 = 3x - 7

3) Add 7 to both sides

2 + 7 = 3x

4) Simplify 2 + 7 to 9

9 = 3x

5) Divide both sides by 3

9/3 = x

6) Simplify 9/3 to 3

3 = x

7) Switch sides

x=3

A box is in the shape of a triangular prism. . The base of the triangular face of the box is 11 centimeters (cm). The height of the triangular face of the box is 7.5 cm. The length of the box is 15 cm. V =1/2hxbxl What is the volume of the box? A 277.5 cm B 577.5 cm C 618.75 cm D1237.5 cm

Answers

Answer:

[tex]618.75 cm^{3}[/tex]

Step-by-step explanation:

[tex]\frac{(11 cm)(7.5 cm)(15 cm)}{2} =618.75 cm^{3}[/tex]

Answer This Please With explanation If You do I Will Mark Brainliest

Answers

Answer:

8)61.5 9)42.1

Step-by-step explanation:

8)61.5

area of square 10×10=100

circle=pie r^2

3.5^2×pie

=38.5

100-38.5=61.5

9)14×14=196

14/2=7

7=radius

pie×7^2

=153.9/2(because circle is half)

=76.95

76.95×2

=153.9

=196-153.9

42.1

MARK IT BRAINLIEST

Find the slope of the line
Need help, don’t understand

Answers

Answer: 3/2

Step-by-step explanation:

1. Slope is rise over run (difference in Y over the difference in X)

2 Look for a point where the line intersect both x and y  

        (0,0) and (2,3)

3.Starting at (0,0) count up until you reach 3. That is the rise. Now

        count over until you reach the 2. That is the run.

4. From 0 to 3 is 3 Rise

   From 0 to 2 is 2 Run

5. Slope is Rise over Run: 3/2

Please show work if needed if not then just answer!:)

Answers

9.

F. Symmetric Property of =.

The Symmetric Property of Equality states that if A = B, then B will = A, and that placement does not matter.

10.

B. Transitive Property of =.

The Transitive Property of Equality states that if A = B and B = C, then A = C.

In this case, AE = FB, FB = EF (meaning that point B is the midpoint), therefore, AE = EF.

A passenger train leaves the train station 5 hours after a freight train left the same station. The freight train is traveling 30 mph slower than the passenger train. Which equation helps to find the rate of each train, if the passenger train overtakes the freight train in three hours.

3r = 5(r - 30)


3r = 8(r - 30)

3r = 8(r + 30)

5r = 3(r - 30)

Answers

Answer:

first one

Step-by-step explanation: doesnt mention the number 8 variable anywhere

Answer:

A. 3r=5(r-30)

Step-by-step explanation:

on edge :)

Other Questions
about how many of the altered bible verses by joseph smith do we currently have printed in our edition of the latter-day saint scriptures? FILL IN THE BLANKS Economic activities are also called _____________________.A. financial activitiesB. monitory activitiesC. market activitiesD. banking activities When x = 4, what is the value of y in the equation 3x - 2y = 6? How to tell if a graph is a function in algebra How many 4-digit natural numbers are there? which unit is more difficult: Stock market or accountancy and auditing? Why? Beaker A contains 6 liters of water and 1 osmole of glucose. Beaker B contains 10 liters of water and 2 osmoles of glucose. Which one has the greater osmolarity and by how much? What is soil? how does it support plant growth? What is special about those plants that grow on top of water which is not soil? PLEASE I NEED BIOLOGICAL FACTS Quesce qui vous a touche das cette nouvelle is the moon bigger than neptune how many almonds does it take to make a gallon of almond milk What is a pandemic?????????????????????????????????????????????????? Identity theft is a threat to anyone with a good credit rating. True False Rearrange the following equation economics is the study of how limited resources are used to satisfy human wants. economists look at the causes and effects of the choices people make. list 3 decisions that you have made in the last 24 hours. Let f(x)=2x-1,g(x)=3x and h(x)=x^2+1 evaluate h(-2)-f(-2) please help! Question 8 of 10 Allowable tax deductions do not include O A. personal vacation expenses B. charitable donations O c. home mortgage interest costs O D. educational expenses please help!! i will give a thanks and brainliest ! Use the formula below to find the 10th term in the geometric sequence.an = (-2)(3)^n-1A. -13,122B. -39,366C. -118,098D. -354,294 SOMEONE PLEASE HELP THIS IS DUE RIGHT NOW I WILL MARK BRINLIEST an isosceles triangle has at least ______ Congruent sides A. 1 B. 2 C. 0