1. Two cards are drawn from a deck one after the other, without replacement of the first card. (a). Find the probability of drawing a 4 and then drawing a 5. (b). Find the probability of drawing a 4 and then drawing another 4. (c). Extend this idea to more than two cards. Find the probability of drawing a 4, drawing a 4, and then drawing another 4 out of a deck without replacement.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. Two cards are drawn from a deck one after the other, without replacement of the first card.
(a). Find the probability of drawing a 4 and then drawing a 5.
(b). Find the probability of drawing a 4 and then drawing another 4.
(c). Extend this idea to more than two cards. Find the probability of drawing a 4, drawing a 4,
and then drawing another 4 out of a deck without replacement.
(d). Four cards are drawn from a deck one after the other, without replacement. Find the probability of drawing a club, drawing a club, drawing a heart, and drawing a diamond.

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