MAH MBA CET Probability and Combinatorics Questions

A bag contains 7 blue balls and 5 yellow balls. If two balls are selected at random, one by one without replacement. What is the probability that none of the selected ball is yellow?

2 dice are cast. What is the probability that both the dice show the same number?

In how many different ways can the letters of the word 'STRESS' be arranged

In how many ways can the letters of the word MIRACLE be arranged such that all the vowels remain together.

Prakhar has six biased coins with him; whenever he tosses any four coins, the probability of him getting at least one head and at least one tail is equal to 1. How many coins with Prakhar have only either heads or tails on both sides?

The probability that it will rain on Monday is 0.3. The probability that Ramya brings an umbrella on monday is 0.6.

What is the probability that Ramya does not bring an umbrella, given that it rains on Monday?

Find the number of ways of distributing five identical chocolates and six identical cookies among three children so that each child gets at least one cookie.

The faces of a numbered die are to be painted by 6 distinct colours: Red, blue, green, black, indigo, and violet. In how many ways can the faces be painted such that the red, green and blue faces share a corner of the cube?

Three ordinary coins having only two sides, namely, heads and tails are tossed in the air and two of such tossed coins land with tails facing upwards.

Determine that what are the chances on the next toss of the coins, at least two of the coins will land with the tails facing upwards ?

There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or person 2. Task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?

Some coins are to be put into 7 pockets so that each pocket contains at least one coin. At most 3 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?

Two friends, Alka and Alkit appear for an interview for two vacancies for the same post in an Organisation. The probability of Alka's selection is 1/7 and Alkit is 1/ 5. What is the probability that only one of them will be selected?

Gajodhar throws two ordinary dice simultaneously. What is the probability that he shall get two numbers whose product will be an even number? 

Out of a pack of 52 cards one is lost, from the remainder of the pack , two cards are drawn and are found to be spades .Find the chance that the missing card is a spade ?

DIRECTION for the question: Solve the following question and mark the best possible option.

From a group of 7 men and 6 women, 5 persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A bag contains 5 red, 4 green and 3 black balls. Three balls are drawn out from it at random. Find the probability of drawing exactly 2 red balls

DIRECTION for the question: Solve the following question and mark the best possible option.

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is

DIRECTION for the question: Solve the following question and mark the best possible option.

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is?

If the integers a and b are chosen at random from 1 to 100, then the probability that a number of the form $$7^{a}+ 7^{a}$$ is divisible by 5, equal to:

DIRECTION for the question: Solve the following question and mark the best possible option.

The probability that a card drawn from a pack of 52 cards with be a diamond or a king, is