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Free download in PDF Class 11 Maths Chapter 16 Probability Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
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