(B) Let $P(H)$ be the probability of the husband's selection and $P(W)$ be the probability of the wife's selection.Given,$P(H) = \frac{1}{7}$ and $P(W

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(B) Let $P(H)$ be the probability of the husband's selection and $P(W)$ be the probability of the wife's selection.Given,$P(H) = \frac{1}{7}$ and $P(W) = \frac{1}{5}$.Since the selection of the husband and the wife are independent events,the probability that both are selected is given by the product of their individual probabilities.$P(H \cap W) = P(H) \times P(W)$$P(H \cap W) = \frac{1}{7} \times \frac{1}{5} = \frac{1}{35}$.

Competitive Quantitative Aptitude Probability Probability

Medium

$A$ husband and wife appear in an interview for $2$ vacancies in the same post. The probability of the husband's selection is $\frac{1}{7}$ and that of the wife's is $\frac{1}{5}$. What is the probability that both of them will be selected?

A
$\frac{2}{7}$
B
$\frac{1}{35}$
C
$\frac{24}{35}$
D
$\frac{11}{35}$

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$A$ husband and wife appear in an interview for $2$ vacancies in the same post. The probability of the husband's selection is $\frac{1}{7}$ and that of the wife's is $\frac{1}{5}$. What is the probability that only $1$ of them will be selected?

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$A$ husband and wife appear in an interview for $2$ vacancies in the same post. The probability of the husband's selection is $\frac{1}{7}$ and that of the wife's is $\frac{1}{5}$. What is the probability that both of them will be selected?

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While dialing a telephone number,an old man forgets the last two digits,remembering only that they are different. If he dials the last two digits at random,what is the probability that the number is dialed correctly?

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