Question

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

Answers

Bot
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

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