Probability Homework Problem 1 We draw the top 7 cards from a well-shuffled standard 52-card deck. Find the probability that: (a) The 7 cards include exactly 3 aces. (b) The 7 cards include exactly 2 kings. (c) The probability that the 7 cards include exactly 3 aces. or exactly 2 kings, or both.
Probability Homework Problem 1 We draw the top 7 cards from a well-shuffled standard 52-card deck. Find the probability that: (a) The 7 cards include exactly 3 aces. (b) The 7 cards include exactly 2 kings. (c) The probability that the 7 cards include exactly 3 aces. or exactly 2 kings, or both.
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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Probability Homework
Problem 1
We draw the top 7 cards from a well-shuffled standard 52-card deck. Find the
probability that:
(a) The 7 cards include exactly 3 aces.
(b) The 7 cards include exactly 2 kings.
(c) The probability that the 7 cards include exactly 3 aces. or exactly 2 kings,
or both.
Problem 2
Alice and Bob have 2n+1 coins, each coin with probability of heads equal to
1/2. Bob tosses n+1 coins, while Alice tosses the remaining n coins. Assuming
independent coin tosses, show that the probability that after all coins have
been tossed, Bob will have gotten more heads than Alice is 1/2.
Problem 3
We are given three coins: one has heads in both faces, the second has tails in
both faces, and the third has a head in one face and a tail in the other. We
choose a coin at random, toss it, and the result is heads. What is the
probability that the opposite face is tails?
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