Question

Joint and conditional probabilities: Given that P(A)=0.3 and P(B)=0.7, answer the following:

What is P(A∩B)?
A. 0.21
B. 0.30
C. 0.42
D. 0.49

Answer 1

If events A and B are independent, P(A∩B) is the product of P(A) and P(B). With P(A) = 0.3 and P(B) = 0.7, P(A∩B) equals 0.21, so the correct answer is A. 0.21.

Step-by-step explanation:

The subject of this question is joint and conditional probabilities in the field of Mathematics. To find P(A∩B), also known as the probability of both events A and B occurring, we use different methods depending on whether the events are independent or not. If events A and B are independent, as indicated in the information provided, the formula to find the joint probability is simply the product of their individual probabilities:

For the given problem, if A and B are independent and we have P(A) = 0.3 and P(B) = 0.7, we would calculate P(A∩B) as:

P(A∩B) = 0.3 * 0.7 = 0.21

So the correct answer would be A. 0.21.