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

The number of favourable cases of the event ( A ∪ B ) ∩ C is 6

The number of favourable cases of the events A , B and C are 15 , 6 and 6 respectively

MEDIUM

JEE Main

IMPORTANT

Earn 100

A seven digit number is formed using digits $3, 3, 4, 4, 4, 5, 5$ . The probability, that number so formed is divisible by $2$ , is

100% studentsanswered this correctly

Important Questions on Probability

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 2 September 2020 Shift 1>Q 32

Box

1

contains

30

cards numbered

1

30

and Box

2

contains

20

cards numbered

31

50

. A box is selected at random and a card is drawn from it. The number on the card is found to be a non-prime number. The probability that the card was drawn from Box

1

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 2 September 2020 Shift 2>Q 33

Let

E^{C}

denote the complement of an event

E

. Let

E_{1}, E_{2}

and

E_{3}

be any pairwise independent events with

P (E_{1}) > 0

and

P (E_{1} \cap E_{2} \cap E_{3}) = 0

, then

P ((E_{2}^{C} \cap E_{3}^{C}) / E_{1})

is equal to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 3 September 2020 Shift 1>Q 34

A die is thrown two times and the sum of the scores appearing on the die is observed to be a multiple of

4

. Then the conditional probability that the score

4

has appeared at least once is

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 3 September 2020 Shift 2>Q 35

Let

x_{i} (1 \leq i \leq 10)

be ten observation of a random variable

X

. If

\sum_{i = 1}^{10} (x_{i} - p) = 3

and

\sum_{i = 1}^{10} {(x_{i} - p)}^{2} = 9

where

0 \neq p \in R

, then the standard deviation of these observations is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 3 September 2020 Shift 2>Q 36

The probability that a randomly chosen

5

- digit number is made from exactly two digits is :

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 4 September 2020 Shift 1>Q 37

The probability of a man hitting a target is

\frac{1}{10} .

The least number of shots required, so that the probability of his hitting the target at least once is greater than

\frac{1}{4},

is....

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 4 September 2020 Shift 2>Q 38

In a game two players

A

and

B

take turns in throwing a pair of fair dice starting with player

A

and total of scores on the two dice, in each throw is noted.

A

wins the game if he throws a total of

6

before

B

throws a total of

7

and

B

wins the game if he throws a total of

7

before

A

throws a total of six. The game stops as soon as either of the players wins. The probability of

A

winning the game is :

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Probability>JEE Main - 5 September 2020 Shift 1>Q 39

Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five, is

A seven digit number is formed using digits 3,3,4,4,4,5,5. The probability, that number so formed is divisible by 2, is

Important Questions on Probability

Learn and Prepare for any exam you want !

A seven digit number is formed using digits $3, 3, 4, 4, 4, 5, 5$ . The probability, that number so formed is divisible by $2$ , is