Probability Maths - Probability

The probability of an impossible event is:

A bag contains cards numbered from 1 to 25. A card is drawn at random from the bag. The probability that the number on this card is divisible by both 2 and 3 is:

Two dice are rolled simultaneously. The probability that they show different faces is:

A bag contains three green marbles, four blue marbles and two orange marbles. If a marble is picked at random, then the probability that it is not an orange marble is:

In a single throw of a die, the probability of getting a multiple of 3 is:

In a simultaneous throw of pair of dice, find the probability of getting:
A doublet of odd numbers.

In a simultaneous throw of pair of dice, find the probability of getting:A sum greater than 9.

In a simultaneous throw of pair of dice, find the probability of getting:
At least once.

In a simultaneous throw of pair of dice, find the probability of getting:
A doublet.

In a simultaneous throw of pair of dice, find the probability of getting:
A sum more than 7.

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:
A heart.

A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is:

1. Divisible by 2 or 3.
2. A prime number.

A number is selected at random from first 50 natural numbers. Find the probability that it is a multiple of 3 and 4.

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:
Jack.

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is:

1. Red.
2. Black.

A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person form the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is:

1. Extremely patient.
2. Extremely kind or honest.

Which of the above you prefer more.

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be:

1. Red?
2. White?
3. Not green?

Suppose you drop a tie at random on the rectangular region shown in the given figure. What is the probability that it will land inside the circle with diameter 1m?

A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell:

1. Will be a 50 paise coin.
2. Will be of value more than ₹1.
3. Will be of value less than ₹5.
4. Will be a ₹1 or ₹2 coin.

Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is:

1. Not divisible by 3.
2. A prime number great than 7.
3. Not a perfect square number.

Cards marked with numbers 13, 14, 15, ....., 60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the card drawn is:

1. Divisible by 5.
2. A number is a perfect square.

A bag contains 6 red balls and some blue balls. if the probability of a drawing a blue ball from the bag is twice that of a red ball, find the number of blue balls in the bag.

All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability to getting a:

1. Face card.
2. Red card.
3. Black card.
4. King.