A man and his wife appeared for an interview for the two vacancies. If the probability of husband's selection is and the probability of wife's selection is , then the probability that none of them will be selected?
A man and his wife appeared for an interview for the two vacancies. If the probability of husband's selection is and the probability of wife's selection is , then the probability that none of them will be selected?
Solution
The probability of husband's selection is and the probability of wife's selection is .
To find the probability that none of them will be selected, we need the probability that both get rejected.
Probability that husband is not selected:
Probability that wife is not selected:
Since the selections are independent events, the probability that both are not selected is the product of their individual probabilities.
Probability that none of them will be selected:
Therefore, the probability that none of them will be selected is .
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