# CAT 2017 Important questions in Probability and Statistics II (Tough)

By N Shiva Guru|Updated : May 5th, 2017

CAT 2017 Hopefuls search for tips and trIcks in each place. Today we should take a gander at a portion of the CAT Model Questions and take a look at a portion of the better strategies to explain the same.

This post means to:

• Give you three staple CAT Model Questions: this would help you in the exam that you are: XAT, SNAP, TISSNET or MAT
• Give you a thought of Quant Questions (for the most part yet there should be some in LR-DI too) as it was the hardest area of CAT 2016

Puzzle 1

The chance of India winning a cricket match against Australia is 1/6. What is the minimum number of matches India should play against Australia so that there is a fair chance of winning at least one match?

a. 3

b. 4

c. 5

d. 6

Puzzle 2

The scheduling officer for a local police department is trying to schedule additional patrol units in each of two neighbourhoods –southern and northern. She knows that on any given day, the probabilities of major crimes and minor crimes being committed in the northern neighbourhood were 0.418 and 0.612, respectively, and that the corresponding probabilities in the southern neighbourhood were 0.355 and 0.520. Assuming that all crime occur independent of each other and likewise that crime in the two neighbourhoods are independent of each other, what is the probability that no crime of either type is committed in either neighbourhood on any given day?

a. 0.069

b. 0.225

c. 0.69

d. 0.775

Puzzle 3

There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave the factory, he is informed that two of the four machines are not working properly. The mechanic is in a hurry, and decides that he will identify the two faulty machines before going home, and repair them next morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8:32 pm. If it takes six minutes to identify whether a machine is defective or not, and if he decides to check the machines at random, what is the probability that the mechanic will be able to catch the last bus?

a. 0

b. 1/6

c. 1/3

d. 1/4

All the very Best,

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Parth PatelMay 5, 2017

1~d 2~a 3~b

Vatsal ParekhMay 5, 2017

6

Shubham MishraMay 5, 2017

1-a,2-b,3-a

KanakMay 9, 2017

Detail solution of this..

Rajeev ShuklaNov 16, 2017
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