Question

Let A, B and C be independent events with P(A) = 0.4, P(B) = 0.8, and P(C) = 0.6. Find P(A and B and C).

O 0.192
O 0.107
O 0.533
O 0.32

Answer 1

To find P(A and B and C) for independent events, multiply their individual probabilities. The calculation gives us 0.192, which is the probability of all three events occurring.

Step-by-step explanation:

The student has asked to find P(A and B and C) for three independent events with given probabilities. To solve this, we use the rule that for independent events, the probability of all events occurring is equal to the product of their individual probabilities.

Therefore:

P(A and B and C) = P(A) × P(B) × P(C) = 0.4 × 0.8 × 0.6

When we calculate this, we get:

P(A and B and C) = 0.192

This means the correct answer is 0.192.