Solution Found!
Suppose that an ordinary deck of 52 cards is shuffled "and
Chapter 3, Problem 28P(choose chapter or problem)
Problem 28P
Suppose that an ordinary deck of 52 cards is shuffled "and the cards are then turned over one at a time until the first ace appears. Given that the first ace is the 20th card to appear, what is the conditional probability that the card following it is the
(a) ace of spades?
(b) two of clubs?
Questions & Answers
QUESTION:
Problem 28P
Suppose that an ordinary deck of 52 cards is shuffled "and the cards are then turned over one at a time until the first ace appears. Given that the first ace is the 20th card to appear, what is the conditional probability that the card following it is the
(a) ace of spades?
(b) two of clubs?
ANSWER:
Step 1 of 3
Given that the first ace is the 20th card to appear.
The total number of aces = 4
Out of these 4 there is only one ace of spades.
The probability that ace is 20th card =
The probability that 21st is ace of spades and first ace is 20th card =
The probability that 21st card is two of clubs and first ace is 20th card =