A five digit number is formed with the digits 8, 3, 4, 5 and 6 without repetition. Find the probability that the number is divisible by 5.

A five digit number is formed with the digits 8, 3, 4, 5 and 6 without repetition. Find the probability that the number is divisible by 5.

From a group of 37 men and 13 women, 3 persons are selected at random. Find the probability that out of the selected three persons, two are women and one is man.
(Approximately in %)

Four unbiased coins are tossed. What is the probability of getting exactly four heads?

There are 5 balls in a bag; in which 4 are blue and 1 is red. What is the probability that a blue ball gets picked?

A fair coin is tossed two times independently and X denotes the number of heads. Then a fair 6-faced die is thrown at random (independently of the tosses) and Y denotes the number on the top of the die. What is the probability that the value of X + Y is 4?

The probability that a ticketless traveller is caught during a rip is 0.1. If the traveller makes 4 trips, the probability that he/she will be caught during at least one of the trips is: 

A fair die was thrown three times and the outcome was repeatedly six. If the die is thrown again what is the probabilityof getting six?

A die is cast twice and a coin is tossed thrice. Find the probability that the die will turn a 5 each time and the coin will turn
a head every time.

Two fair dice are thrown. The number of cases where the number appearing on the upper face of the first die is not less than that on the lower face of the second die is