EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 31 January 2023 Shift 1>Q 127

HARD

JEE Main

IMPORTANT

Earn 100

A bag contains $6$ balls. Two balls are drawn from it at random and both are found to be black. The probability that the bag contains at least $5$ black balls is

45.83% studentsanswered this correctly

Important Questions on Probability

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 31 January 2023 Shift 2>Q 128

Let

A

be the event that the absolute difference between two randomly chosen real numbers in the sample space

[0, 60]

is less than or equal to

a

. If

P (A) = \frac{11}{36}

, then a is equal to _____ .

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 1 February 2023 Shift 1>Q 129

In a binomial distribution

B (n, p)

, the sum and product of the mean & variance are

5

and

6

respectively, then find

6 (n + p - q)

is equal to :-

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 1 February 2023 Shift 2>Q 130

Two dice are thrown independently. Let

A

be the event that the number appeared on the

1^{st}

die is less than the number appeared on the

2^{nd}

die,

B

be the event that the number appeared on the

1^{st}

die is even and that on the second die is odd, and

C

be the event that the number appeared on the

1^{st}

die is odd and that on the

2^{nd}

is even. Then