CMAT Probability Practice Questions With Solutions

A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at a random from the bag, one after another. What is the probability that the first ball drawn was red and the second ball drawn was yellow in colour?

During the next year, the probability that a Company A releases a mobile is 0.7. The probability that mobile is a success. given that it is released by the Company is 0.8. The probability that a mobile is a success and released by a Company B is 0.28. A mobile released by either Company A or Company B during the next one year is a success. Find the probability that it is released by Company A.

Given below are two statements:
Statement I : A coin is tossed three times. The probability of getting exactly two heads is 3/8
Statement II: In tossing of 10 coins, the probability of getting exactly 5 heads is 63/256

Match List I with List II.
Let A and B be events with $P(A)=\frac{2}{3}, P(B)=\frac{1}{2}$ and $P(A\cap B)=\frac{1}{3}$

(Here c stands for complement)
Choose the correct answer from the options given below:

Brother and sister both appear for an interview. The probability of the selection of brother is $\frac{1}{8}$ while the probability of rejection of sister is $\frac{4}{5}$ What is the probability that only one of them is selected ?

What is the area covered by a bell-shaped curve from —6 sigma to +6 sigma in normal distribution?

A management institute has 6 senior professors and 4 junior professors, 3 professors are selected at random for a government project. The probability that at least one of the junior professors would get selected is :

What is the probability of drawing a king or a heart from a deck of cards ?

In a simultaneous throw of a pair of dice, find the probability of getting a total of 9 or more.

In a box, there are eight yellow and four black balls. If three balls are drawn at random, what is the probability that two are yellow and one black?