A card is drawn from an ordinary deck and recorded and replaced it each time. Experiment is repea...

Question

Question

A card is drawn from an ordinary deck and recorded and replaced it each time. Experiment is repeated for 20 times. Find the p

Answer 1

Answer #1

P(getting a club), p = 1/4 (There are 4 suits with 13 card each and club is one of those)

P(not getting a club), q = 1 - p = 3/4

Number of draws, n = 20

Binomial distribution: P(X) = nCx p^x q^n-x

P(getting a club between 8 and 10 times, inclusive) = P(8) + P(9) + P(10)

= 20C8x(1/4)⁸x(3/4)¹² + 20C9x(1/4)⁹x(3/4)¹¹ + 20C10x(1/4)¹⁰x(3/4)¹⁰

= 0.0609 + 0.0271 + 0.0099

= 0.0979

Answer 2

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