A bridge hand is made up of 13 cards from a deck of 52. Find the probability that a hand chosen at random contains at least 3 nines.

Question

Athena Kelley

Mathematics

28 March, 13:35

A bridge hand is made up of 13 cards from a deck of 52. Find the probability that a hand chosen at random contains at least 3 nines.

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Answers (1)

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Alayna Armstrong · Answer 1

A deck of 52 hours has 4 nines.

P (x ≥ 3) = (48 C 10 · 4 C 3) / (52 C 13) + (48 C 9 · 4 C 4) / (52 C 13) =

= 0.0412 + 0.588 = 0.1

Answer:

The probability is 0.1 (or 10%).