Two fair dice are tossed. Let $A$ be the event that the first die shows an even number and $B$ be the event that the second die shows an odd number. The two event $A$ and $B$ are
Mutually exclusive
Independent and mutually exclusive
Dependent
None of these
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
An experiment consists of recording boy-girl composition of families with $2$ children. What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births ?
On her vacations Veena visits four cities $(A,\,B ,\, C$ and $D$ ) in a random order. What is the probability that she visits $A$ either first or second?
There are two childrens in a family. The probability that both of them are boys is
Three coins are tossed once. Find the probability of getting at most $2$ heads.