A standard deck of 52 playing cards has an equal number of hearts, spades, clubs and diamonds.

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A standard deck of 52 playing cards has an equal number of hearts, spades, clubs and diamonds. A deck is shuffled and a card is randomly selected. Let X be the number of cards selected, up to and including the first diamond.

a. Given that X follows a geometric distribution, describe the way in which the cards are selected, and give the reason for your answer.

b. Find the probability that:

i. X is equal to E(X)

ii. Neither of the first two cards selected is a heart and the first diamond is the third card selected.

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Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

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Question Posted: Sep 14, 2021 02:10 AM

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A standard deck of 52 playing cards has an equal number of hearts, spades, clubs and diamonds.

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X G p Read this as X is a random variable with a geometric distribution The parameter is p p the probability of a success for each trial The Geometric ...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

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