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
Relatable?? uhh yeah
mafiozo [28]

Answer:

mhm thanks 4 the points

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A construction crew is placing a square window in a wall The window is 3 feet wide. The wall has a width of 11 feet In order for
Fittoniya [83]

Answer:

4 feet on each side.

Step-by-step explanation:

Given :

Width of the wall = 11 feet

Width of the window = 3 feet

Now for the window to be placed in the center of window :

$=\frac{11-3}{2}$

$=\frac{8}{2}$

= 4 feet

Therefore, in order to place the window on the center of the wall, 4 feet space must be there on each side of the window.

4 0
3 years ago
I need help with problem number 3 if someone can help me with that
Flura [38]
Plug in x into the equation. Take x= -2 for example. Your equation is 2x-5, so instead of x, you put -2.
2(-2)-5 = -9
Your table is as follows:
(-2,-9)
(-1,-7)
(0,-5)
(1,-3)
3 0
3 years ago
Graph y = f(x) = 3(2)x. Adjust the equation to make the y-intercept (0, −3). Which response is not correct?
Sauron [17]

Answer:

Replace x with −x.

f(x) = 3(2)−x is not correct because the y-intercept is (0, 3).

the answer is B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Angel jogged around the park in 1 1/4 hr chris jogged same distance in 5/6 hrs how much longer did angel take then chris in hr??
QveST [7]
You will have to get the difference and get a common denominator but first combine the mixed number:
1 \:  \frac{1}{4}  -   \frac{5}{6}   =  \frac{5}{4}   -   \frac{5}{6} =  \frac{15}{12}   -   \frac{10}{12}
Then subtract the numbers
\frac{15}{12}  -  \frac{10}{12}  =  \frac{5}{12}
Angel took 5/12 hours longer than Chris
6 0
4 years ago
Other questions:
  • Rock jaw spends a total of $80 each week for karate lessons in ballet lessons if the amount spent on karate lessons increases $1
    6·1 answer
  • What is the constant in the expression?
    15·1 answer
  • 8 x 213 = 1,600 + ------<br>+ 24​
    7·1 answer
  • 10n + 7 &gt; n - 3 (5 - 3n)<br><br> plz
    10·2 answers
  • The coordinates of the vertices of quadrilateral ABCD are A(0, −4) , B(−4, 3) , C(3, 4) , and D(6, −1) . Drag and drop the choic
    14·2 answers
  • Can someone explain negative exponents? ​
    5·1 answer
  • Choose the correct solution for the given equation.
    15·1 answer
  • What is the value of X?<br> Intersecting Chords (Lengths)
    10·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST
    15·1 answer
  • I have been having a really hard time with this. if anyone can help me please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!