1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
posledela
3 years ago
15

Bob has a standard deck of playing cards. If he randomly draws a J, K, 2, and 2, what is the probability that the next card he d

raws to add to his hand is a K? Please answer in fraction form.
Mathematics
2 answers:
nlexa [21]3 years ago
6 0

Answer:

The correct answer has already been given (twice). I'd like to present two solutions that expand on (and explain more completely) the reasoning of the ones already given.


One is using the hypergeometric distribution, which is meant exactly for the type of problem you describe (sampling without replacement):


P(X=k)=(Kk)(N−Kn−k)(Nn)


where N is the total number of cards in the deck, K is the total number of ace cards in the deck, k is the number of ace cards you intend to select, and n is the number of cards overall that you intend to select.


P(X=2)=(42)(480)(522)


P(X=2)=61326=1221


In essence, this would give you the number of possible combinations of drawing two of the four ace cards in the deck (6, already enumerated by Ravish) over the number of possible combinations of drawing any two cards out of the 52 in the deck (1326). This is the way Ravish chose to solve the problem.


Another way is using simple probabilities and combinations:


P(X=2)=(4C1∗152)∗(3C1∗151)


P(X=2)=452∗351=1221


The chance of picking an ace for the first time (same as the chance of picking any card for the first time) is 1/52, multiplied by the number of ways you can pick one of the four aces in the deck, 4C1. This probability is multiplied by the probability of picking a card for the second time (1/51) times the number of ways to get one of the three remaining aces (3C1). This is the way Larry chose to solve the this.

Step-by-step explanation:


Allisa [31]3 years ago
3 0

Hi There!

Answer:

4/52 (With cards picked before put back.)

3/48 (With cards picked before not put back.)

Step-by-step explanation:

A standard deck of cards is made up of 52 cards.

There are 4 kings in a deck.

4/52

Bob has a 4/52 chance of picking a king.

I don't know if the cards he picked prior to this he put back or not. If he didn't then it's 3/48.

Hope This Helps :)

You might be interested in
Simplify the following expression:<br> -8 (5b + 2) -7 ( b-5)
RUDIKE [14]

Answer:

-8(5b+2)-7(b-5)

first, use distributive property to get:

-40b-16-7b+35

then, use combine like terms to simplify:

-47b+19

that's your answer!

:)))))))))

3 0
3 years ago
Read 2 more answers
Hallway measuring 90ft by 7ft requires half a fluid oz of cleaning solution per square foot. How much cleaning solution is requi
aliya0001 [1]

90 x 7 = 630 square feet total

0.5 fluid ounce per sq ft

630 x 0.5 = 315 fluid ounces are needed

7 0
3 years ago
If the coefficient of determination for a data set is 0.75 and the SSE for the data set is 9, what is the SST for the data set?
OverLord2011 [107]
0.1873 aaaaaaaaaaaaaaaaaaaaaaaa
6 0
3 years ago
Read 2 more answers
Hey can someone help me Create a box and whisker plot for
alisha [4.7K]
The answer would be c i think but i could be wrong i was never good at box and whisker plots
8 0
3 years ago
when the driver is in the empty truck, the mass is 2948.35 kilogram. the mass of 1 box of paper is 22.5 kilograms. the driver de
marishachu [46]

Answer:

  0 boxes minimum

Step-by-step explanation:

The mass of the truck and paper must satisfy ...

  22.5b + 2948.35 ≤ 4700 . . . . total truck mass cannot exceed bridge limits

  22.5b ≤ 1751.65

  b ≤ 77.85

The driver can take a minimum of 0 boxes and a maximum of 77 boxes of paper over the bridge.

_____

The question asks for the <em>minimum</em>. We usually expect such a question to ask for the <em>maximum</em>.

7 0
2 years ago
Other questions:
  • Solve for x PLZ HELP!!!
    8·2 answers
  • Julien interviewed his classmates on which course they prefer and which animal they prefer. What percentage of cat lovers also p
    11·2 answers
  • |5x+8|=|10x+7| solve the equation.
    5·1 answer
  • The volume of a rectangular prism is 180cm3. If the length of the prism is 6m and the height is 5 cm, what is the width of the p
    10·1 answer
  • What is the surface area of a cone with diameter 28 cm and height 22 cm in terms of pi?
    9·2 answers
  • A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track
    8·1 answer
  • PLeAsE i NeEd HeLp!!!!
    11·1 answer
  • 5x+8y=62.9<br> x=4-y<br> please solve correctly using substitution
    10·2 answers
  • What is the equation of a line that contains points (–4, –3) and (–2, –6)?
    6·1 answer
  • 2/7 of the people watching a football game are children. 3/8 of the children are girls.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!