Probability 3 Question 18
18. A student appears for tests I, II and III. The student is successful if he passes either in tests I and II or tests I and III. The probabilities of the student passing in tests I, II and III are and , respectively. If the probability that the student is successful, is , then
(a)
(b)
(c)
(d)
(1986, 2M)
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Solution:
- Let
and denote the events of passing the tests I, II and III, respectively.
Evidently
According to given condition,
The values of option (c) satisfy Eq. (i).
[Infact, Eq. (i) is satisfied for infinite number of values of