A man and his wife appear for an interview for two posts. The probability of the husband's selection is $\frac{1}{7}$ and that of the wife's selection is $\frac{1}{5}$. What is the probability that only one of them will be selected
$\frac{1}{7}$
$\frac{2}{7}$
$\frac{3}{7}$
None of these
Two dice are thrown together. If the numbers appearing on the two dice are different, then what is the probability that the sum is $6$
The probability of obtaining an even prime number on each die, when a pair of dice is rolled is
A box contains $3$ white and $2$ red balls. A ball is drawn and another ball is drawn without replacing first ball, then the probability of second ball to be red is
Two persons each make a single throw with a die. The probability they get equal value is ${p_1}$. Four persons each make a single throw and probability of three being equal is ${p_2}$, then
Find the probability that the two digit number formed by digits $1, 2, 3, 4, 5$ is divisible by $4$ (while repetition of digit is allowed)