Question

Two events, A and B, are independent of each other. P(A) = 1/6 and P(A and B) = 1/8 What is P(B) written as a decimal? Round to the nearest hundredth, if necessary

Answer 1

P(B) = 0.75.

For independent events, P(A and B) = P(A)*P(B). This gives us

1/8 = 1/6(x)

Divide both sides by 1/6:
1/8 ÷ 1/6 = x
1/8 × 6/1 = x
6/8 = x
3/4 = x
0.75 = x