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
$\frac{1}{{42}}$
$\frac{{41}}{{42}}$
$\frac{2}{{63}}$
$\frac{1}{7}$
Mr. A has six children and atleast one child is a girl, then probability that Mr. A has $3$ boys and $3$ girls, is
An unbiased die with faces marked $1, 2, 3, 4, 5$ and $6$ is rolled four times. Out of four face values obtained the probability that the minimum face value is not less than $2$ and the maximum face value is not greater than $5$, is
Two different families $A$ and $B$ are blessed with equal number of children. There are $3$ tickets to be distributed amongst the children of these families so that no child gets more than one ticket . If the probability that all the tickets go to the children of the family $B$ is $\frac {1}{12}$ , then the number of children in each family is?
If an unbiased die, marked with $-2,-1,0,1,2,3$ on its faces, is through five times, then the probability that the product of the outcomes is positive, is :