Statistics and Probability (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 7 - 9 of 9

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Question number: 7

» Statistics and Probability » Probability

Appeared in Year: 2013

MCQ▾

Question

A box contains coupons labeled 1,2,3n . A coupon is picked at random and the number x is noted. The coupon is put back into the box and a new coupon is picked at random. The new number is y . Then the probability that one of the numbers x,y divides the other is (in the options below [r] denotes the largest integer less than or equal to r ) (Model Paper)

Choices

Choice (4) Response

a.

12

b.

1n+1n2k=1n[nk]

c.

2n2k=1n[nk]1n

d.

1n2k=1n[nk]

Question number: 8

» Statistics and Probability » Probability of an Event

Appeared in Year: 2015

MCQ▾

Question

Let Xn={1, 2,3,,n} and let a subset A of Xn be chosen so that every pair of elements of A differ by at least 3. (For example, if n=5 , A can be ϕ , {2} or {1, 5} among others). When n=10, let the probability that 1A be p and let the probability that 2A be q . Then –

Choices

Choice (4) Response

a.

p>q and pq=16

b.

p<q and qp=110

c.

p>q and pq=110

d.

p<q and qp=16

Question number: 9

» Statistics and Probability » Probability of an Event

Appeared in Year: 2016

MCQ▾

Question

A box contains b blue balls and r red balls. A ball is drawn randomly from the box and is returned to the box with another ball of the same color. The probability that the second ball drawn from the box is blue is –

Choices

Choice (4) Response

a.

br+b

b.

b(b+1)(r+b)(r+b+1)

c.

b+1r+b+1

d.

b2(r+b)2

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