Question

Suppose a and b are independent events. If P(a) = 0.2 and P(b) = 0.3, what is P(a and b)?

1) 0.04
2) 0.36
3) 0.54
4) 0.06

Answer 1

The probability of two independent events a and b occurring together, denoted P(a and b), is 0.06, found by multiplying their individual probabilities, 0.2 and 0.3, respectively.

Step-by-step explanation:

The question asks to find P(a and b), the probability of events a and b occurring together, given that they are independent events. We know that the probability of two independent events occurring together is the product of their individual probabilities. Therefore,

P(a and b) = P(a) × P(b) = 0.2 × 0.3 = 0.06.

So the correct answer is 0.06, which corresponds to option D from the list provided in the question.