Probability-Law of Total Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 4 of 5

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Question number: 1

» Probability » Law of Total Probability

MCQ▾

Question

Patients are recruited onto the two arms (Control, Treatment) of a clinical trial. The probability that an adverse outcome occurs on the control arm is x , and is y for the treatment arm. Patients are allocated alternately onto the two arms, and their outcomes are independent. What is the probability that the first adverse event occurs on the control arm?

Choices

Choice (4) Response

a.

yx+y

b.

yx+yxy

c.

xx+y

d.

xx+yxy

Question number: 2

» Probability » Law of Total Probability

MCQ▾

Question

When a collection of events {S1,S2,,Sn} of a certain sample space (or population) S is called a partition?

Choices

Choice (4) Response

a.

S1,S2,,Sn are mutually exclusive events.

b.

S1S2Sn=S .

c.

A and B holds.

d.

All of the above

Question number: 3

» Probability » Law of Total Probability

MCQ▾

Question

We roll a four sided die. If the result is 1 or 2, we roll once more but otherwise we stop. What is the probability that the sum total of our rolls is at least 4?

Choices

Choice (4) Response

a.

516

b.

816

c.

716

d.

916

Question number: 4

» Probability » Law of Total Probability

MCQ▾

Question

A biased coin (with probability of obtaining a Head equal to p > 0) is tossed repeatedly and independently until the first head is observed. What is the probability that the first head appears at an even numbered toss?

Choices

Choice (4) Response

a.

1p2p

b.

2p1p

c.

p2p

d.

p1p

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