The chances of three independent events P, Q, R occuring are 1/2, 2/3, 1/4 respectively. What are the chances of two of them only occuring

Answer 1

To find the chances of only two events occurring, we need to consider all possible pairs of events and add their individual probabilities.

For P and Q to occur:
Probability = (1/2) x (2/3) x (3/4)
= 1/4

For P and R to occur:
Probability = (1/2) x (1/3) x (3/4)
= 1/8

For Q and R to occur:
Probability = (1/2) x (2/3) x (1/4)
= 1/12

So the total probability of only two events occurring is:

1/4 + 1/8 + 1/12
= 5/12