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A survey of couples in a city found the following probabilities:
The probability that the husband is employed is 0.85.
The probability that the wife is employed is 0.59.
The probability that both are employed is 0.50.
A couple is selected at random. Find the probability of the following.
(a) At least one of them is employed.
(b) Neither is employed.

Respuesta :

Answer

(a) 0.94

(b)0.06

Step-by-step explanation:

P(husband is employed) = P(H) = 0.85

P(wife is employed) = P(W) = 0.59

P(both are employed) = P(H∩W) = 0.50

(a) At least one of them is employed

= P(H∪W)

= P(H) + P(W) - P(H∩W)

=0.85 + 0.59 - 0.50

=0.94

(b) Neither is employed,

=1 - P(H∪W)

= 1-0.94

=0.06

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