A committee has to be made of $5$ members from $6$ men and $4$ women. The probability that at least one woman is present in committee, is
$\frac{1}{{42}}$
$\frac{{41}}{{42}}$
$\frac{2}{{63}}$
$\frac{1}{7}$
Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is
Dialing a telephone number an old man forgets the last two digits remembering only that these are different dialled at random. The probability that the number is dialled correctly, is
A dice is rolled three times, find the probability of getting a larger number than the previous number each time ?
If $m$ rupee coins and $n$ ten paise coins are placed in a line, then the probability that the extreme coins are ten paise coins is
Fifteen persons among whom are $A$ and $B$, sit down at random at a round table. The probability that there are $4$ persons between $A$ and $B$, is