Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Work Book Exercise 21.2>Q 5

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IMPORTANT

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A point is selected at random from the interior of a circle. The probability that the point is close to the centre than the boundary of the circle, is

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Important Questions on Fundamentals of Probability

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Work Book Exercise 21.2>Q 6

Three dice are thrown. The probability of getting a sum which is a perfect square, is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Work Book Exercise 21.2>Q 7

Three six-faced dice are thrown together. The probability that the sum of the numbers appearing on the dice

k (3 \leq k \leq 8)

, is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 21 - Fundamentals of Probability>Work Book Exercise 21.2>Q 8

An unbiased die with faces numbered

\{1, 2, 3, 4, 5, 6\}

is thrown

n

times and the list of

n

numbers showing up is noted. Then, the probability that among the numbers

\{1, 2, 3, 4, 5, 6\}

only three numbers appear in this list, is

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

Given

P (A) = \frac{3}{5}

and

P (B) = \frac{1}{5} .

Find

P (A or B)

, if

A

and

B

are mutually exclusive events.

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

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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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

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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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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