# CBSE 12th Mathematics Board Exam 2020: Important Questions & Answers from Chapter 13 - Probability

Check important questions and answers for Class 12th Mathematics Board Examination 2020 from Chapter 13 - Probability.

Created On: Mar 15, 2020 20:00 IST
Modified On: Mar 16, 2020 10:47 IST Probability

The Central Board of Secondary Education, CBSE, has scheduled the CBSE Class 12th Mathematics Examination 2020 on March 17, 2020. The students appearing in the CBSE Class 12th Mathematics Board Examination 2020 can go through the below-mentioned questions for Chapter 13- Probability. These Questions are based on the latest CBSE pattern.

Question 1-  For a loaded die, the probabilities of outcomes are given as under P (l) = P (2) = 0.2, P (3) =P (5) = P(6)= 0.1 and P (4) = 0.3. The die is thrown two times. Let A and 6 be the events, ‘the same number each time’ and ‘a total score is 10 or more’, respectively. Determine whether or not A and B are independent.

Answer: P (A) = 0.20 ; P(B) = 0.10

A and B are independent events.

Question 2-

Question 3- A bag contains 5 red marbles and 3 black marbles. Three marbles are drawn one by one without replacement. What is the probability that at least one of the three marbles drawn be black if the first marble is red?

Question 4-

Answer: (i) P ( A / B) = 3/4

(ii)  P ( B / A) = 1/2

(iii) P ( A’ / B) = 1/4

(iv) P ( A’ / B’) = 5/8

Question 5-

(ii) Mean of the distribution (μ) = 23/18

Question 6- If X is the number of tails in three tosses of a coin, then determine the standard deviation of X.

Answer: standard deviation of X = 3 / 2.

Question 7- Three dice are thrown at the same time. Find the probability of getting three two’s, if it is known that the sum of the numbers on the dice was six.

Answer: P (E2 / E1) = 1/10

Question 8-  Four cards are successively drawn without replacement from a deck of 52 playing cards. What is the probability that all four cards are king?