Multiple choice

There are 6 cards containing 2 kings. If we are simultaneously picking two cards, what is the probability that exactly one of them is a king?

  1. 1/2

  2. 8/15

  3. 4/5

  4. 7/15
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total ways to pick 2 cards from 6 is 6C2 = 15. Ways to pick exactly one king: (1 king from 2) * (1 non-king from 4) = 2C1 * 4C1 = 2 * 4 = 8. Probability = 8/15.

AI explanation

To find the probability of picking exactly one king, we first calculate the total number of ways to choose 2 cards out of 6, which is 6 choose 2, giving 15 combinations. The number of ways to pick exactly one king and one non-king is calculated by multiplying 2 choose 1 by 4 choose 1, yielding 8 favorable combinations. Dividing the 8 favorable outcomes by the 15 total outcomes gives a probability of 8/15. The result is 8/15.

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