NCERT Solutions for Class 11 Maths Chapter 16 Probability — Exercise 16.3

Question 1:Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = { } 1 2 3 4 5 6 7 w ,w ,w ,w ,w ,w ,w Assignment w 1 w 2 w 3 w 4 w 5 w 6 w 7 (a) 0.1 0.01 0.05 0.03 0.01 0.2 0.6 (b) 7 1 7 1 7 1 7 1 7 1 7 1 7 1 (c) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 (d) – 0.1 0.2 0.3 0.4 – 0.2 0.1 0.3 (e) 14 1 14 2 14 3 14 4 14 5 14 6 14 15

Question 2:A coin is tossed twice, what is the probability that atleast one tail occurs?

NCERT class 11 maths chapter 16 Probability

Question 3:A die is thrown, find the probability of following events: (i) A prime number will appear, (ii) A number greater than or equal to 3 will appear, (iii) A number less than or equal to one will appear, (iv) A number more than 6 will appear, (v) A number less than 6 will appear.

Exercise 16.3 maths class 11 Chapter 16 Probability

Question 4:A card is selected from a pack of 52 cards. (a) How many points are there in the sample space? (b) Calculate the probability that the card is an ace of spades. (c) Calculate the probability that the card is (i) an ace (ii) black card.

Question 5:A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed. find the probability that the sum of numbers that turn up is (i) 3 (ii) 12

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Question 6:There are four men and six women on the city council. If one council member is selected for a committee at random, how likely is it that it is a woman?

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Question 7:A fair coin is tossed four times, and a person win Re 1 for each head and lose Rs 1.50 for each tail that turns up. From the sample space calculate how many different amounts of money you can have after four tosses and the probability of having each of these amounts.

Question 8:Three coins are tossed once. Find the probability of getting (i) 3 heads (ii) 2 heads (iii) atleast 2 heads (iv) atmost 2 heads (v) no head (vi) 3 tails (vii) exactly two tails (viii) no tail (ix) atmost two tails

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Question 9:If 11 2 is the probability of an event, what is the probability of the event ‘not A’.

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Question 10:A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is (i) a vowel (ii) a consonant

Question 11:In a lottery, a person choses six different natural numbers at random from 1 to 20, and if these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game? [Hint order of the numbers is not important.]

Question 12:Check whether the following probabilities P(A) and P(B) are consistently defined (i) P(A) = 0.5, P(B) = 0.7, P(A Ç B) = 0.6 (ii) P(A) = 0.5, P(B) = 0.4, P(A È B) = 0.8

Exercise 16.3 class 11 Math ncert solutions Chapter 16

Question 13:Fill in the blanks in following table: P(A) P(B) P(AÇ B) P(AÈ B) (i) 1 3 1 5 1 15 . . . (ii) 0.35 . . . 0.25 0.6 (iii) 0.5 0.35 . . . 0.7

Question 14:Given P(A) = 5 3 and P(B) = 5 1 . Find P(A or B), if A and B are mutually exclusive events.

EXERCISE 16.31. Which of the following can not be

Question 15:If E and F are events such that P(E) = 4 1 , P(F) = 2 1 and P(E and F) = 8 1 , find (i) P(E or F), (ii) P(not E and not F).

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Question 16:Events E and F are such that P(not E or not F) = 0.25, State whether E and F are mutually exclusive.

Question 17:A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine (i) P(not A), (ii) P(not B) and (iii) P(A or B)

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Question 18:In Class XI of a school 40% of the students study Mathematics and 30% study Biology. 10% of the class study both Mathematics and Biology. If a student is selected at random from the class, find the probability that he will be studying Mathematics or Biology.

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Question 19:In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing atleast one of them is 0.95. What is the probability of passing both?

Question 20:The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English examination is 0.75, what is the probability of passing the Hindi examination?

CBSE NCERT Solutions For class 11 Probability

Question 21:In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that (i) The student opted for NCC or NSS. (ii) The student has opted neither NCC nor NSS. (iii) The student has opted NSS but not NCC.