# 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 ________.

Edit## 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) ________.

Edit## 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 |

## 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 |