Final answer:
The probability of both independent events a and b occurring, P(a AND b), is found by multiplying their individual probabilities: P(a) × P(b) = 0.9 × 0.7 = 0.63.
Step-by-step explanation:
The question pertains to the concept of probability of independent events. Since a and b are independent events, the probability of both a and b occurring — denoted as P(a AND b) — is calculated by multiplying the probability of a occurring by the probability of b occurring. Given that P(a) = 0.9 and P(b) = 0.7, the probability of both events occurring is:
P(a AND b) = P(a) × P(b) = 0.9 × 0.7 = 0.63.
Thus, the probability of both events a and b occurring is 0.63.