Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Work Book Exercise 21.3>Q 2

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IMPORTANT

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If $E$ and $F$ are events such that $P (E) = \frac{1}{4}, P (F) = \frac{1}{2}$ and $P (E and F) = \frac{1}{8}$ . Find: $(i)$ $P (E or F)$ $(ii)$ $P (not E and not F)$ .

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Important Questions on Fundamentals of Probability

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Work Book Exercise 21.3>Q 3

An experiment yields

3

mutually exclusive and exhaustive events

A, B

and

C

. If

P (A) = 2 P (B) = 3 P (C)

, then

P (A)

is equal to

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Work Book Exercise 21.3>Q 4

A

and

B

are two events where

P (A) = 0.25

and

P (B) = 0.5

. The probability of both happening together is

0.14

. The probability of both

A

and

B

not happening is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Work Book Exercise 21.3>Q 5

Let

A

and

B

be two independent events such that

P (A) = \frac{1}{5}, P (A \cup B) = \frac{7}{10} .

Then,

P (\bar{B})

is equal to

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Work Book Exercise 21.3>Q 6

A, B

and

C

are the events such that

P (A) = 0.3, P (B) = 0.4, P (C) = 0.8, P (A \cap B) = 0.08

,

P (A \cap C) = 0.28, P (A \cap B \cap C) = 0.09

. If

P (A \cup B \cup C) \geq 0.75

, then

P (B \cap C)

lies in the interval

EASY

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IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Work Book Exercise 21.3>Q 7

A die is rolled so that the probability of face

i

is proportional to

i, i = 1, 2, \dots, 6

. The probability of an even number occurring when the die is rolled, is

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IMPORTANT

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

From a group of

2

boys and

3

girls, two children are selected. Then, the total number of the outcomes of this experiment is

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IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Target Exercises>Q 2

Two dice are thrown simultaneously. Then, the set of event a total of at least

10

is

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IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Target Exercises>Q 3

If

A

and

B

are independent events such that

0 < P (A) < 1

and

0 < P (B) < 1,

then which one is not correct?