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6. Ten cards are dealt from a standard deck. (a) What is the expected number of queens? (b) What is the expected number of hearts? Hint: For part (a), let Q = 1 if the ith card is a queen, and let Q; = 0 otherwise. What is E(Q)? Then consider the sum Q₁ + 2 + + Q10. Part (b) is similar.

6. Ten cards are dealt from a standard deck. (a) What is the expected number of queens? (b) What is the expected number of hearts? Hint: For part (a), let Q = 1 if the ith card is a queen, and let Q; = 0 otherwise. What is E(Q)? Then consider the sum Q₁ + 2 + + Q10. Part (b) is similar.

A First Course in Probability (10th Edition)
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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6. Ten cards are dealt from a standard deck. (a) What is the expected number of queens? (b) What is the expected number of hearts? Hint: For part (a), let Q₁ = 1 if the ith card is a queen, and let Q₁ = 0 otherwise. What is E(Q)? Then consider the sum Q₁+Q₂ + + Q10. Part (b) is similar.
Transcribed Image Text:6. Ten cards are dealt from a standard deck. (a) What is the expected number of queens? (b) What is the expected number of hearts? Hint: For part (a), let Q₁ = 1 if the ith card is a queen, and let Q₁ = 0 otherwise. What is E(Q)? Then consider the sum Q₁+Q₂ + + Q10. Part (b) is similar.
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Step 1: Determine expected number of queens

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