Statistics and Probability-Probability of an Event (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 4 of 5

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Question number: 1

» Statistics and Probability » Probability of an Event

Appeared in Year: 2012

MCQ▾

Question

Let Sn=k=1n(k) denote the sum of the first n positive integers. The numbers S1, S2, S3, …, S99 are written on 99 cards. The probability of drawing a card with an even number written on it is –

Choices

Choice (4) Response

a.

49100

b.

12

c.

4999

d.

4899

Question number: 2

» Statistics and Probability » Probability of an Event

Appeared in Year: 2012

MCQ▾

Question

A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A purse is chosen randomly and a coin is taken out of it. What is the probability that is a copper coin –

Choices

Choice (4) Response

a.

3170

b.

2770

c.

13

d.

4170

Question number: 3

» Statistics and Probability » Probability of an Event

Appeared in Year: 2013

MCQ▾

Question

In a tournament with five teams, each team plays against every other team exactly once. Each game is won by one of the playing teams and the winning team scores one point, while the losing team scores zero. Which of the following is NOT necessarily true? (Model Paper)

Choices

Choice (4) Response

a.

There are at least two teams which have at most two points each.

b.

There are at least two teams which have at least two points each

c.

There are at most three terms which have at least three points each

d.

There are at most four terms which have at most two points each.

Question number: 4

» 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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