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NCERT Solutions for class 11 Maths | Chapter 16 - Probability

Questions
1 On his vacation, Rahul visits four cities (A, B, C, and D) in a random order. The probability that he visits A before B and B before C is
A 1/2
B 1/3
C 1/4
D 1/6

Answer:1/6
2 If the integers m and n are chosen at random between 1 and 100, then the probability that the number of the from 7m + 7n is divisible by 5 equals
A 1/4
B 1/7
C 1/8
D 1/49

Answer:1/4
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3 If four whole numbers taken at random are multiplied together, then the chance that the last digit in the product is 1,3,5,7 is
A 16/25
B 16/125
C 16/625
D none of these

Answer:16/625
4 Three numbers are chosen from 1 to 20. Find the probability that they are not consecutive
A 186/190
B 187/190
C 188/190
D Class 11 Probability

Answer:187/190
5 In a non-leap year, the probability of having 53 Tuesdays or 53 Wednesdays is
A 1/7
B 2/7
C 3/7
D none of these

Answer:2/7
6 Two fair dice are tossed. Let X be the event that the first die shows an even number, and Y be the event that the second die shows an odd number. The two events X and Y are
A mutually exclusive
B independent and mutually exclusive
C dependent
D Independent

Answer:Independent
7 On his vacation, Rahul visits four cities (A, B, C, and D) in a random order. The probability that he visits A first and B last is
A 1/2
B 1/6
C 1/10
D 1/12

Answer:1/12
8 The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c respectively . of these subjects, the student has a 75% chance of passing in at least one, a 50% chance of passing in at least two and 40% chance of passing in exactly two . Which of the following relations are true ?
A p + m + c = 19/20
B p + m + c = 27/20
C pmc = 1/10
D pms = 1/4

Answer:p + m + c = 27/20
9 Two cards from a pack of 52 cards are lost. One card is drawn from the remaining cards. If drawn card is diamond then the probability that the lost cards were both hearts is
A 143/1176
B 143/11760
C 143/11706
D 134/11760

Answer:143/11760
10 One of the two mutually exclusive events must occur. If the chance of one is 2/3 of the other, then odds in favour of the other are
A 2:3
B 1:3
C 3:1
D 3:2

Answer:3:2
11 The probability of getting 53 Sundays in a leap year is
A 1/7
B 2/7
C 3/7
D None of these

Answer:2/7
12 Events A and B are independent if
A P (A ∩ B) = P (A/B) P (B)
B P (A ∩ B) = P (B/A) P (A)
C P (A ∩ B) = P (A) + P (B)
D P (A ∩ B) = P (A) * P (B)

Answer:P (A ∩ B) = P (A) * P (B)
13 A dice is tossed for 4 times. The probability for getting 1 for minimum 1 time is
A 617/1269
B 617/1296
C 671/1269
D 671/1296

Answer:671/1296
14 A box contains 6 nails and 10 nuts. Half of the nails and half of the nuts are rusted. If one item is chosen at random, then the probability that it is rusted or a nail is
A 3/16
B 5/16
C 11/16
D 14/16

Answer:11/16
15 Seven white balls and three black balls are randomly placed in a row . The probability that no two black balls are placed adjacently equals
A 1/2
B 7/15
C 2/15
D 1/3

Answer:7/15
16 The probability that when a hand of 7 cards is drawn from a well-shuffled deck of 52 cards, it contains at least 3 Kings is
A 46/7735
B 46/7753
C 1/221
D None of these

Answer:46/7735
17 Two dice are thrown the events A, B, C are as follows A: Getting an odd number on the first die. B: Getting a total of 7 on the two dice. C: Getting a total of greater than or equal to 8 on the two dice. Then B C is equals to
A 15
B 19
C 21
D 23

Answer:21
18 Two unbiased dice are thrown. The probability that neither a doublet nor a total of 10 will appear is
A 3/5
B 2/7
C 5/7
D 7/9

Answer:7/9
19 Three distinguishable balls are distributed in three cells. The probability that all three occupy the same cell, given that at least two of them are in the same cell, is
A 1/3
B 1/5
C 1/7
D 1/9

Answer:1/7
20 A couple has two children. The probability that both children are males, if it is known that at least one of the children is male is
A 1/2
B 1/3
C 1/4
D 1/5

Answer:1/3

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