The probability that in a year of the $22^{nd}$ century chosen at random there will be $53$ Sundays is

$A$ bag contains $3$ red,$4$ white and $5$ black balls. Three balls are drawn at random. The probability of the balls being of different colours is

Two dice are thrown. Find the probability of getting an even number as the sum.

An urn contains $10$ green,$12$ yellow,and $11$ white balls. What is the probability that when $2$ balls are selected,none is white?

There are $3$ urns $A, B$,and $C$. Urn $A$ contains $4$ red balls and $3$ black balls. Urn $B$ contains $5$ red balls and $4$ black balls. Urn $C$ contains $4$ red balls and $4$ black balls. One ball is drawn from each of these urns. What is the probability that the $3$ balls drawn consist of $2$ red balls and $1$ black ball?

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.