Question

Suppose events A, B, and C are independent and

1
3
P(A) =
P(B) E
P(C) =
1
2
4
Find the probability. (Enter the probability as a fraction.)
P(An Bn C)

Answer 1

The probability of events A, B, and C happening simultaneously is 1/24.

Since events A, B, and C are independent, the probability of their intersection is the product of their individual probabilities. Therefore:

P(An Bn C) = P(A) * P(B) * P(C)

Substitute the given values:

P(An Bn C) = 1/3 * 1/4 * 1/2 = 1/24

Therefore, the probability of events A, B, and C happening simultaneously is 1/24.