2008 iTest Problems/Problem 36
Problem
Let be the probability that the cards are neither from the same suit or the same rank. Compute .
Note: Two cards are drawn.
Solution
Note that one can not get two cards with the same suit or the same rank, so the two events are independent. The probability of getting two cards with the same rank is , and the probability of getting two cards with the same suit is . Thus, the probability of getting two cards with same suit or same rank is , so the probability of getting two cards that do not have the same suit or rank is . That means .
See Also
2008 iTest (Problems) | ||
Preceded by: Problem 35 |
Followed by: Problem 37 | |
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