Find the probability that the birthdays of six different persons will fall in exactly two calender months.

Find the probability that the birth days of six different persons will fall in exactly two calendar months.

Find the number of ways in which the birthday of six different persons will fall in exactly two calendar months.

A, B, C shoot to hit a target. If A hits the target 4 times in 5 trials, B hits it 3 times in 4 trials and C hits it 2 times in 3 trials. Find the probability that the target is hit by i. exactly 2 persons. ii. exactly 3 persons. iii atleast 2 persons. iv. atmost 2 persons. V. none.

A bag contains 12 red balls 6 white balls. Six balls are drawn one by one without replacement of which at least 4 balls are white. Find the probability that in the next two drawn exactly one white ball is drawn. (Leave the answer in ""^(n)C_(r ) ).

Find the probability that a randomly chosen three-digit number has exactly three factors.

Find the probability that a randomly chosen three-digit number has exactly three factors.

Find the probability of getting 5 exactly twice in 7 throws of a die.

Six boys and six girls sit in a row randomly. Find the probability that (i) the six girls sit together, (ii) the boys and girls sit alternately.

5 different balls are placed in 5 different boxes randomly. Find the probability that exactly two boxes remain empty. Given each box can hold any number of balls.