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
Independent
Mutually exclusive
Dependent
Equally likely
Three coins are tossed once. Find the probability of getting at most $2$ heads.
Describe the sample for the indicated experiment: A coin is tossed and a die is thrown.
Let $A$ be a set of all $4 -$digit natural numbers whose exactly one digit is $7 .$ Then the probability that a randomly chosen element of $A$ leaves remainder $2$ when divided by $5$ is ..... .
A number is chosen at random from first ten natural numbers. The probability that number is odd and perfect square is
The two events $A$ and $B$ have probabilities $0.25$ and $0.50$ respectively. The probability that both $A$ and $B$ occur simultaneously is $0.14$. Then the probability that neither $A$ nor $B$ occurs is