Two integers are chosen at random and multiplied. The probability that the product is an even integer is
$\frac{1}{2}$
$\frac{2}{3}$
$\frac{3}{4}$
$\frac{4}{5}$
A fair coin is tossed four times, and a person win $\mathrm {Rs.}$ $1$ for each head and lose $\mathrm {Rs.}$ $1.50$ for each tail that turns up. From the sample space calculate how many different amounts of money you can have after four tosses and the probability of having each of these amounts.
A card is selected from a pack of $52$ cards. Calculate the probability that the card is black card.
A card is drawn from a pack of $52$ cards. If $A =$ card is of diamond, $B =$ card is an ace and $A \cap B = $ card is ace of diamond, then events $A$ and $B$ are
If $P(A) = 0.65,\,\,P(B) = 0.15,$ then $P(\bar A) + P(\bar B) = $
Two dice are tossed. The probability that the total score is a prime number is