$A$ and $B$ are two events such that $P(A)=0.54$,$P(B)=0.69$ and $P(A \cap B)=0.35$. Find $P(A \cap B^{\prime})$.

Two persons $A$ and $B$ throw three unbiased dice one after the other. If $A$ gets a sum of $13$,then the probability that $B$ gets a higher sum is:

In a single throw of two dice,what is the probability of obtaining an odd number as the sum of the numbers on the two dice?

For two events $A$ and $B$,if $P(A \cup B) = \frac{5}{6}$,$P(A) = \frac{1}{6}$,and $P(B) = \frac{2}{3}$,then $A$ and $B$ are:

Three coins are tossed once. Find the probability of getting no head.

$A$ coin and a six-faced die,both unbiased,are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die is: