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Consider a standard deck of 52 cards. Shuffle the cards, and then deal them onto

ID: 3369842 • Letter: C

Question

Consider a standard deck of 52 cards. Shuffle the cards, and then deal them onto the table, one at a time, without replacement.

a. Find the probability that the first card dealt is a queen. unanswered

b. Find the probability that the last card dealt is a queen. unanswered

c. Find the probability that the third card dealt is a queen. unanswered

d. Find the probability that the th card dealt is a queen, for . unanswered

e. Find the conditional probability that the 19th card dealt is a queen, given that the first card dealt is a queen. unanswered

f. Find the conditional probability that the 19th card dealt is a queen, given that the first and seventh cards dealt are queens.

Explanation / Answer

In feck of 52 total 4 cards are Queen.

We deal cards by with replacement. So after a deal there is same chance of getting queen in next deal.

A) P(first card is queen) =4/52=1/13

B) similarly P(last card is queen )=1/13

C)P(3rd card is queen) =1/13(since the sample space does not changes)

D) P(nth card is queen) =1/13