In a single throw of two dice,the probability of getting a sum of more than $7$ is

The probability that a man will be alive $25$ years hence is $0.3$ and the probability that his wife will be alive $25$ years hence is $0.4$. Find the probability that $25$ years hence,both will be alive.

$A$ couple has two children. If at least one of them is a boy,what is the probability that the other is also a boy?

$A$ six-faced die is biased such that it is twice as likely to show an even number as an odd number when thrown. If it is thrown twice, what is the probability that the sum of the two numbers obtained is even?

Seven chits are numbered $1$ to $7$. Three are drawn one by one with replacement. The probability that the least number on any selected chit is $5$,is

$A$ 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?