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

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Question number: 1

» Probability » Conditional Probability

MCQ▾

Question

In describing the survival rate and life expectancy in a certain population, let AN denote the event of reaching the age of N years and P(N)=(AN) be the corresponding probability. If P(50)=0.913,P(55)=0.881,P(65)=0.746 then, what is the probability that a 50 years old will die within 5 years?

Choices

Choice (4) Response

a.

0.253

b.

0.035

c.

0.965

d.

Question does not provide sufficient data or is vague

Question number: 2

» Probability » Conditional Probability

MCQ▾

Question

Four cards are drawn in succession without replacement from a standard deck. At each draw, all the remaining cards in the deck are equally likely. What is the probability of the color sequence red-red-black-red?

Choices

Choice (4) Response

a.

0.0624

b.

0.6245

c.

0.0526

d.

None of the above

Question number: 3

» Probability » Conditional Probability

MCQ▾

Question

Your neighbor has 2 children. You learn that he has a son, Rahul. What is the probability that Rahul’s sibling is a brother?

Choices

Choice (4) Response

a.

14

b.

12

c.

13

d.

All of the above

Question number: 4

» Probability » Conditional Probability

MCQ▾

Question

Consider the college applicant who has determined that he has 0.80 probability of acceptance and that only 60 % of the accepted students will receive dormitory housing. Of the accepted students who receive dormitory housing, 80 % will have at least one roommate. What is the probability of being accepted and receiving dormitory housing and having no roommates?

Choices

Choice (4) Response

a.

0.088

b.

0.096

c.

0.085

d.

0.074

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