Probability [GATE (Graduate Aptitude Test in Engineering) Computer Science]: Questions 1 - 4 of 5

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Question 1

Appeared in Year: 2019

Question Numeric Answer▾

Two numbers are chosen independently and uniformly at random from the set . The probability (rounded off to 3 decimal places) that their 4-bit (unsigned) binary representations have the same most significant bit is ________.

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Question 2

Appeared in Year: 2019

Question Numeric Answer▾

Suppose Y is distributed uniformly in the open interval (1,6) . The probability that the polynomial has only real roots is (rounded off to 1 decimal place) ________.

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Question 3

Appeared in Year: 2020

Question MCQ▾

Given below are two statements:

Statement. I: 5 divides whenever n is a nonnegative integer.

Statement II: 6 divides whenever n is a nonnegative integer.

In the light of the above statements, choose the correct answer from the options given below

(November)

Choices

Choice (4)Response

a.

Both Statement I and Statement II are correct

b.

Both Statement I and Statement II are incorrect

c.

Statement I is incorrect but Statement II is correct

d.

Statement l is correct but Statement II is incorrect

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Question 4

Appeared in Year: 2020

Question MCQ▾

How many ways are there to pack six copies of the same book into four identical boxes, where a box can contain as many as six books? (November)

Choices

Choice (4)Response

a.

6

b.

7

c.

4

d.

9

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