A basket contains $5$ apples and $7$ oranges and another basket contains $4$ apples and $8$ oranges. One fruit is picked out from each basket. Find the probability that the fruits are both apples or both oranges
$\frac{{24}}{{144}}$
$\frac{{56}}{{144}}$
$\frac{{68}}{{144}}$
$\frac{{76}}{{144}}$
The probability that two randomly selected subsets of the set $\{1,2,3,4,5\}$ have exactly two elements in their intersection, is :
Suppose $n \ge 3$ persons are sitting in a row. Two of them are selected at random. The probability that they are not together is
$4$ cards are drawn from a well-shuffled deck of $52$ cards. What is the probability of obtaining $3$ diamonds and one spade?
A bag contains $4$ white, $5$ red and $6$ black balls. If two balls are drawn at random, then the probability that one of them is white is
An unbiased coin is tossed eight times. The probability of obtaining at least one head and at least one tail is