Thirteen cards are dealth to a player from a standard 52 card deck. find the expected number of Aces. Also find the expected number of red kings.

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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Thirteen cards are dealth to a player from a standard 52 card deck. find the expected number of Aces. Also find the expected number of red kings. 

Expert Solution
Step 1

Given:

A standards deck of cards contains N=52 cards.

Number of cards to a player, n=13

a) To find the expected number of aces.

Total number of aces, n(A)=4

Probability of getting an ace card is,

P(A)=n(A)NP(A)=452P(A)=113

Now, the expected number of aces is,

E(A)=n·P(A)E(A)=13·113E(A)=1

Hence, the expected number of aces from a deck of 52 cards is 1.

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