What is the chance that a leap year selected randomly will have $53$ Wednesdays?

An urn contains $25$ balls numbered $1$ to $25$. Suppose an odd number is considered a 'success'. If $2$ balls are drawn from the urn with replacement,find the probability of getting at most $2$ successes.

When two dice are thrown,what is the probability that the sum of the numbers appearing on them is an even number?

The probability that $A$ speaks the truth is $\frac{4}{5}$,while this probability for $B$ is $\frac{3}{4}$. Find the probability that they contradict each other when asked to speak on a fact.

Two integers are chosen at random and multiplied. The probability that the product is an even integer is

$A$ drawer contains $5$ brown socks and $4$ blue socks well mixed. $A$ man reaches the drawer and pulls out $2$ socks at random. What is the probability that they match?