Question 158138: two cards are drwa from a well-shuffled deck of 52 cards.
what is the probability of getting two jacks?
what is the probability of getting two clubs?
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! what is the probability of getting two jacks?
since there are a total of 4 jacks in a deck of 52, the probability of the getting the first jack is 4:52 = 4/52 = 1/13
.
Now, after the first jack is removed, there are only 3 jacks left in a deck of 51 so the probability of the second card drawn is:
3:51 = 3/51 = 1/17
.
Therefore the probability is:
1/13 * 1/17 = 0.0045
.
what is the probability of getting two clubs?
Since there are a total of 13 clubs in a deck of 52, the probability of the getting the first club is 13:52 = 1/4
.
Now, after the first club is removed, there are only 12 left in a deck of 51 so the probability of the second card drawn is:
12:51 = 12/51
.
Therefore the probability is:
1/4 * 12/51
= 1/1 * 3/51
= 3/51
= 0.0588
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