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?

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 ?

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

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: