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
A card is drawn at random from a well shuffled pack of $52$ cards. The probability of getting a two of heart or diamond is
Two integers $\mathrm{x}$ and $\mathrm{y}$ are chosen with replacement from the set $\{0,1,2,3, \ldots ., 10\}$. Then the probability that $|x-y|>5$ is:
The event $A$ is independent of itself if and only if $P(A) = $
A bag contains $30$ balls numbered from $1$ to $30$, one ball is drawn randomly. The probability that number on the ball is multiple of $5$ or $7$ is
What is the probability that when one die is thrown, the number appearing on top is even