Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 2

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IMPORTANT

Earn 100

There are three events $A$ , $B$ and $C$ one of which must, and only one can happen; the odds are $8$ to $3$ against $A$ and $5$ to $2$ against $B$ , find the odds against $C$ .

Important Questions on Probability

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 3

If the letters of the word

BANANA

are arranged randomly, then find the probability that the word thus formed does not contain the pattern

BAN

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 4

Nine cards are labelled

0, 1, 2, 3, 4, 5, 6, 7, 8

at random and put on a table in a successive order, and then the resulting number is read say

07

(seven),

42

(fourty two) and so on. Find the probability that the number is even.

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 5

Three persons

A, B

and

C

speak at a function along with

5

other persons. If the persons speak at random, find the probability that

A

speaks before

B

and

B

speaks before

C

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 6

A rectangle is randomly selected from the grid of equally spaced squares as shown.

Question Image

Find the probability that the rectangle is a square.

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 7

Three of the six vertices of a regular hexagon are chosen at random. Then the probability that the triangle with three vertices is equilateral is

' p'

then

100 p

equals

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 8

In throwing a pair of dice, find whether the two events

(i) E_{1}

: 'coming up of an odd number on first dice' and

E_{2}

: 'coming up of a total of

8

'.

(i i) E_{1}

: 'coming up of

4

on first dice' and

E_{2}

: 'coming up of

5

on the second dice'.
are mutually exclusive or not.

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 9

In throwing of a pair of dice, find the probability of the event: total is 'not

8

' and 'not

11

'.

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 10

Before race the chance of three runners,

A, B, C

were estimated to be proportional to

5, 3, 2,

but during the race

A

meets with an accident which reduces his chance to

\frac{1}{3} .

What are the respective chance of

B

and

C

now?