One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?

The probability that Soumya will get marry within 365 days is ‘a’ and the probability that her colleague Alma get marry within 365 days is ‘b’. Find the probability that only one of the two gets marry at the end of 365 days.

10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.

There are 8 boys and 12 girls in a class. 5 students have to be chosen for an educational trip. Find the number of ways in which this can be done if 2 particular girls are always included.

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.

Determine the probability that a digit chosen at random from the digits 1, 2, 3, …12 will be odd.

Two dice are tossed. The probability that the total score is a prime number is:

There are 7 red balls and 8 yellow balls in a bag. Two balls are simultaneously drawn at random. What is the probability that both the balls are of same colour ?

There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?