Asked by Susan
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
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Answered by
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
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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