Final answer:
The probability of both independent events A and B occurring, denoted as P(A ∩ B), is computed by multiplying P(A) by P(B), resulting in 0.14.
Step-by-step explanation:
Since events A and B are independent, the probability of both events occurring, which is denoted by P(A ∩ B), is the product of their individual probabilities. To compute this, you simply multiply P(A) by P(B).
Given that P(A) = 0.7 and P(B) = 0.2, the probability of both A and B occurring is:
P(A ∩ B) = P(A) × P(B)
= 0.7 × 0.2
P(A ∩ B) = 0.14
Therefore, the probability of both A and B occurring, given that they are independent, is 0.14.