Question

A pair of dice (one red and one green) is rolled. Think about these events: A=...

A pair of dice (one red and one green) is rolled. Think about these events:

A= event that the sum of the numbers on the dice is 8

B= event that the red die shows the number 4

Find the following probabilities:

P(A)= ?

P(A ∩ B)=?

Suppose P(A) = 0.3, P(B )= 0.4, and P(A ∩ B) = 0.04

Find the following probabilities:

P(A ∩ Bc)=?

P(B ∩ Ac)=?

Please include work and answers!

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