. IdrawcardsfromadeckuntilIgetaspade. (a) WhatistheprobabilitythatIneedexactlyse

Question

. IdrawcardsfromadeckuntilIgetaspade. (a) WhatistheprobabilitythatIneedexactlysevendraws? (b) Given that six or more draws are required, what is the probability that exactly seven draws are required? . IdrawcardsfromadeckuntilIgetaspade. (a) WhatistheprobabilitythatIneedexactlysevendraws? (b) Given that six or more draws are required, what is the probability that exactly seven draws are required? . IdrawcardsfromadeckuntilIgetaspade. (a) WhatistheprobabilitythatIneedexactlysevendraws? (b) Given that six or more draws are required, what is the probability that exactly seven draws are required?

Explanation / Answer

A) P(seven draws are required) = P(first 6 are not spades) x P(7th is spade)

= 39C6/52C6 x 13/46

= 0.0453

B) p(exactly seven draws | six of more draws are required) = p(exactly seven draws) / P(6 or more draws are required)

= 0.0453/(39C5/52C5)

= 0.2044

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