Statistics and Probability (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 7 - 8 of 8

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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

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