A penny and a nickel are tossed. Both are fair coins. Let X = 1 if the penny comes up heads, and let X = 0 otherwise. Let Y = 1 if the nickel comes up heads, and let Y = 0 otherwise. Let Z = 1 if both the penny and nickel come up heads, and let Z = 0 otherwise. Are X and Y independent?

Question

Mathematics

Killian

8 May, 15:43

A penny and a nickel are tossed. Both are fair coins. Let X = 1 if the penny comes up heads, and let X = 0 otherwise. Let Y = 1 if the nickel comes up heads, and let Y = 0 otherwise. Let Z = 1 if both the penny and nickel come up heads, and let Z = 0 otherwise. Are X and Y independent?

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Answers (1)

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Lennon Chen · Answer 1

Yes

Step-by-step explanation:

The coins are independent

X is based on only penny

Y is based on only nickel

Z is dependent on X and Y, but X and Y don't depend on each other