CMAT Probability and Combinatorics Questions

Four coins are tossed simultaneously. What is the probability that two consecutive heads never occur together?

A fair coin is tossed repeatedly. If tail appears on first four tosses, then the probability of head appearing on fifth toss equals.

How many such pairs of digits are there in the number 8314629 each of which has as many digits between them in the number as after arranging the digits in descending order?

How many such pairs of digits are there in the number 95137248 each of which has as many digits between them in the number as when they are arranged in the ascending order?

The probability that the birthdays of 4 different persons will fall in exactly two calendar months is :

A consignment of 15 wrist watches contains 4 defectives. The wrist watches are selected at random, one by one and examined . The ones examined are not replaced back. What is the probability that ninth one examined is the last defective?

In how many ways can the following prizes be given away to a class of 30 students, first and second in Mathematics, first and second in Physics, first in Chemistry and first in English?

20 girls, among whom are A and B sit down at a round table. The probability that there are 4 girls between A and B is

A player can take a maximum of 4 chances to hit a bottle with a flying disc. The probability of hitting the bottle at the first, second, third and fourth shots are 0.1, 0.2, 0.35 and 0.45 respectively. What is the probability that the player hits the bottle with the flying disc?

There are 10 stations on a railway line. The number of different journey tickets that are require by the authorities , is

Find the number of permutations that can be made from the letters of the word OMEGA, if the vowels occupy odd places.

A glass jar contains 1 red, 3 green, 2 blue and 4 yellow marbles. If a single marble is chosen at random from the jar

A) Probability of getting a yellow marble is $$\frac{1}{5}$$

B) Probability of getting a green marble is $$\frac{3}{10}$$

C) Probability of getting either a yellow or a green marble is $$\frac{7}{10}$$

D) Probability of getting either a red or a yellow marble is $$\frac{3}{10}$$

Choose the correct answer from the options given below :

A Glass Jar contains 1 Red, 3 Green, 2 Blue and 4 Yellow marbles. If a single marble is chosen then Match List I with List II :

Choose the correct answer from the options given below: