Finite help please

Question

An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.2, 0.2, and 0.6, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.7 and 0.3. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below.

(a)    P(B)

(b)    P(F | B)

(c)    P(B  F)

(d)    P(F)

Answer 1

a) P(B) =0.2

d) P(F) = 0.3

for c) and d) you need to make some assumption, such as B and F are independent. IF so, then b) is P(F/B) = P(F) = 0.3 If they are independent, one event does not affect the probability of the other event

c) P(B&F) is P(B)(P(F) = 0.2(0.3) = 0.06