# If the probability of events A & B occurring are P(A) = 0.3 and P(B) = 0.8, what is the probability that both A & B occur?

##### 1 Answer

Nov 5, 2015

The explanation is given below.

#### Explanation:

For any two events, A and B we have the product rule or the multiplication theorem of probability as follows.

Pr{A

#nn# B] = P(A).P(B) if A and B are independent.

Pr[A#nn# B] = P(A) + P(B) - P(A#uu# B) otherwise.

Hence if A and B are independent, then we have the answer as 0.3x0.8 = 0.24

Otherwise, we cannot obtain P[A#nn# B] as the information is incomplete.