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JEE Advanced

IMPORTANT

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A die is thrown. Let, $A$ be the event that the number obtained is greater than $3$ and $B$ be the event that the number obtained is less than $5$ . Then, $P (A \cup B)$ is

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Important Questions on Fundamentals of Probability

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 13

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house, is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 14

The probability that

A

speaks truth is

\frac{4}{5}

, while this probability for

B

\frac{3}{4}

. The probability that they contradict each other when asked to speak on a fact,is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 15

Five horses are in a race. Mr.

A

selects two of the horses at random and bets on them. The probability that Mr.

A

selected the winning horse, is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 16

Events

A, B

and

C

are mutually exclusive events such that

P (A) = \frac{3 x + 1}{3}, P (B) = \frac{1 - x}{4}

and

P (C) = \frac{1 - 2 x}{2}

. The set of possible values of

x

are in the interval

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 17

A

and

B

play a game, where each is asked to select a number from

1

25 .

If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial, is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 18

A problem in Mathematics is given to three students

A, B, C

and their respective probabilities of solving the problem is

\frac{1}{2}, \frac{1}{3}

and

\frac{1}{4}

. Probability that the problem is solved, is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 19

Five persons

A, B, C, D

and

E

are in queue of a shop. The probability that

A

and

E

are always together, is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 20

A four-digit number is formed by the digits

1, 2, 3, 4

without repetition. The probability that the number is odd, is

A die is thrown. Let, A be the event that the number obtained is greater than 3 and B be the event that the number obtained is less than 5. Then, PA∪B is

Important Questions on Fundamentals of Probability

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A die is thrown. Let, $A$ be the event that the number obtained is greater than $3$ and $B$ be the event that the number obtained is less than $5$ . Then, $P (A \cup B)$ is