Consider selecting 6 cards from a pack of cards without replacement. What is the probability that 3 of the cards will be black?

Consider selecting 6 cards from a pack of cards without replacement. What is the probability that 3 of the cards will be black? Correct Answer 0.3320

The given Experiment follows Hypergeometric distribution with N = 52 since there are 52 cards in a deck. k = 26 since there are 26 black cards in a deck. n = 6 since we randomly select 6 cards from the deck. x = 3 since 3 of the cards we select are black. h(x; N, n, k) = / h(3; 52, 6, 26) = / h(3; 52, 6, 26) = 0.3320 Thus, the probability of randomly selecting 6 black cards is 0.3320.
Bissoy MCQ

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