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Mathematics, 22.05.2020 22:59 negativechill

A basket contains 10 plastic eggs, each with a coin. There are 4 pennies, 3 nickels, 2 dimes, and 1 quarter. Tim picks two eggs randomly from the basket. What do the probabilities of one egg containing a nickel and one egg containing a quarter show about the independence or dependence of the events?

a
The events are dependent because P(Q)⋅P(N|Q)≠P(N)⋅P(Q|N).
b
The events are independent because P(Q)⋅P(N|Q)≠P(N)⋅P(Q|N).
c
The events are dependent because P(Q)⋅P(N|Q)=P(N)⋅P(Q|N).
d
The events are independent because P(Q)⋅P(N|Q)=P(N)⋅P(Q|N).

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