Exercise 5.20.1: Probabilities and random variables - a roll of two dice.Consider an experiment in which a red die and a blue die are thrown. Let X be the random variable whose value is the product of the numbers on the red and blue dice. (b) What is the probability that X = 6?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Exercise 5.20.1: Probabilities and random variables - a roll of two dice.Consider an experiment in which a red die and a blue die are thrown. Let X be the random variable whose value is the product of the numbers on the red and blue dice.

(b)

What is the probability that X = 6?

 

Exercise 5.20.2: Distribution over a random variable - aces in a 5-card hand.A hand of 5 cards is dealt from a perfectly shuffled deck of playing cards. Let the random variable A denote the number of aces in the hand.

(a)

What is the range of A?

(b)

Give the distribution over the random variable A.

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