In a single throw of two dice, the probability of getting more than $7$ is
$\frac{7}{{36}}$
$\frac{7}{{12}}$
$\frac{5}{{12}}$
$\frac{5}{{36}}$
In a college, $25\%$ of the boys and $10\%$ of the girls offer Mathematics. The girls constitute $60\%$ of the total number of students. If a student is selected at random and is found to be studying Mathematics, the probability that the student is a girl, is
The event $A$ is independent of itself if and only if $P(A) = $
A person can kill a bird with probability $3/4$. He tries $5$ times. What is the probability that he may not kill the bird
An unbiased die is tossed until a number greater than $4$ appears. The probability that an even number of tosses is needed is
A dice is thrown twice. The probability of getting $4, 5$ or $6$ in the first throw and $1, 2, 3$ or $4$ in the second throw is