Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 35

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JEE Advanced

IMPORTANT

Earn 100

The probability of a simultaneous occurrence of at least one of the two events $A$ and $B$ is $p$ . If the probability that exactly one of $A, B$ occurs is $q$ , then $P (A) + P (B)$ is equal to

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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 36

If

M

and

N

are any two events, then the probability that exactly one of them occurs is (for an event set

A

, the complement is

A^{C}

)

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 38

If the events

A

and

B

are independent and if

P (A^{C}) = \frac{2}{3}

and

P (B^{C}) = \frac{2}{7}

, then

P (A \cap B)

is equal to

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 39

If

P (A \cup B) = 0 \cdot 83, P (A) = 0 \cdot 3

and

P (B) = 0 \cdot 6

, then the events

A & B

will be

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 40

If

n

integers taken at random are multiplied together, then the probability that the last digit of the product is

1, 3, 7

or

9

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 41

An urn contains

8

red and

5

white balls. Three balls are drawn at random. Then, the probability that the balls of both colours are drawn 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 42

Two decks of playing cards are well-shuffled and

26

cards are randomly distributed to a player. Then, the probability that the player gets all distinct cards is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Entrances Gallery>Q 43

Probability of product of a perfect square when

2

dice are thrown together 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 44

A bag contains

3

white and

5

black balls. One ball is drawn at random. Then, the probability that it is white is