Suppose you roll a fair six-sided die. Let the random variable X take value 1 when an even number is seen, and 0 otherwise; let the random variable Y take value 1 when a prime number is seen, and 0 otherwise. Drag-and-drop to complete the joint probability mass function. [Note that values on the right may be used more than once.] P(X = 0,Y = 0) 1/6 1/2 P(X = 1,Y = 0) 1/6 1/3 1/3 P(X= 1, Y = 1) 1/6 1/4 P(X = 0,Y = 1) 1/3

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Chapter1: Combinatorial Analysis
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Suppose you roll a fair six-sided die. Let the random variable X take value 1 when an even number is seen, and 0 otherwise; let the random variable Y take value 1 when a prime number is seen, and 0 otherwise. Drag-and-drop to complete the joint probability mass function. [Note that values on the right may be used more than once.]

How to work out each probability?


Suppose you roll a fair six-sided die. Let the random variable X take value 1 when an even number is seen, and 0 otherwise; let the random variable Y
take value 1 when a prime number is seen, and 0 otherwise. Drag-and-drop to complete the joint probability mass function. [Note that values on the
right may be used more than once.]
P(X = 0,Y = 0)
1/6
1/2
P(X = 1, Y = 0)
1/6
1/3
1/3
P(X = 1,Y = 1)
1/6
1/4
P(X = 0, Y = 1)
1/3
Transcribed Image Text:Suppose you roll a fair six-sided die. Let the random variable X take value 1 when an even number is seen, and 0 otherwise; let the random variable Y take value 1 when a prime number is seen, and 0 otherwise. Drag-and-drop to complete the joint probability mass function. [Note that values on the right may be used more than once.] P(X = 0,Y = 0) 1/6 1/2 P(X = 1, Y = 0) 1/6 1/3 1/3 P(X = 1,Y = 1) 1/6 1/4 P(X = 0, Y = 1) 1/3
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