NCERT MCQ CLASS-12 CHAPTER-13 | MATH NCERT MCQ | PROBABILITY | EDUGROWN

In This Post we are  providing Chapter-13 Probability NCERT MCQ for Class 12 Math which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS  can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MCQ ON PROBABILITY

Question 1.
The variance of random variable X i.e. σ2x or var (X) is equal to
(a) E(X²) + [E(X²)₂]²
(b) E(X) – [E(X²)]
(c) E(X²) – [E(X)]²
(d) None of these

Answer:(c) E(X²) – [E(X)]²

Question 2.
A coin is biased so that the head is 3 times likely to occur as a tail. If the coin is tossed twice, then find the probability distribution of the number of tails.

Answer:

Question 3.
A pair of the die is thrown 4 times. If getting a doubled is considered a success, then find the probability distribution of a number of successes.

Answer:

Question 4.
Find the probability of throwing utmost 2 sixes in 6 throws of a single die.
(a) 3518(56)3
(b) 3518(56)4
(c) 1829(23)4
(d) 1829(23)3

Answer:(b) 3518(56)4

Question 5.
A die is thrown again and again until three sixes are obtained. Find the probability of obtaining third six in the sixth throw of the die.
(a) 62523329
(b) 62125329
(c) 62523328
(d) 62023328

Answer:(c) 62523328

Question 6.
Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Then, the probability that there is at least one defective egg is
(a) 1−7101010
(b) 1+7101010
(c) 1+9101010
(d) 1−9101010

Answer:(d) 1−9101010

Question 7.
The probability of a man hitting a target is 14. How many times must he fire so that the probability of his hitting the target at least once is greater than 23?
(a) 4
(b) 3
(c) 2
(d) 1

Answer:(a) 4

Question 8.
Eight coins are thrown simultaneously. Find the probability of getting at least 6 heads.
(a) 31128
(b) 37256
(c) 37128
(d) 31256

Answer:(b) 37256

Question 9.
A bag contains 6 red, 4 blue and 2 yellow balls. Three balls are drawn one by one with replacement. Find the probability of getting exactly one red ball.
(a) 14
(b) 38
(c) 34
(d) 12

Answer:(b) 38

Question 10.
Eight coins are thrown simultaneously. What is the probability of getting at least 3 heads?
(a) 37246
(b) 21256
(c) 219256
(d) 19246

Answer:(c) 219256

Question 11.
For the following probability distribution, the standard deviation of the random variable X is

(a) 0.5
(b) 0.6
(c) 0.61
(d) 0.7

Answer:(d) 0.7

Question 12.
A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is
(a) 45196
(b) 135392
(c) 1556
(d) 1529

Answer:(c) 1556

Question 13.
A die is thrown and card is selected a random from a deck of 52 playing cards. The probability of gettingan even number on the die and a spade card is
(a) 12
(b) 14
(c) 18
(d) 34

Answer:(c) 18

Question 14.
A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing 2 green balls and one blue ball is
(a) 328
(b) 221
(c) 128
(d) 167168

Answer:(a) 328

Question 15.
A flashlight has 8 batteries out of which 3 are dead. If two batteries are selected without replacement and tested, the probability that both are deal is
(a) 3356
(b) 964
(c) 114
(d) 328

Answer:(d) 328