Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 4

HARD

CAT

IMPORTANT

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A bag contains $4$ red and $7$ green balls. If three balls are drawn from the bag, replaced, and once again three balls are drawn from the bag, then what is the probability of obtaining $3$ red balls on the first drawing and $3$ green balls on the second drawing?

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Important Questions on X+2 Maths

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 5

One number is selected at random from the first

25

natural numbers. What is the probability that it is a multiple of either

5

or

7

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 6

A bag contains

5

green apples and

7

red apples. If two apples are drawn from that bag, then what is the probability that one is red and the other is green?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 7

The probability of a problem being solved by A is

\frac{1}{4}

and B solving the same problem is

\frac{1}{5}

. If they try independently, then what is the probability that the problem is not solved?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 8

Ten horses are running in a race; the chances that A will win are

30 %,

B

will win are

20 %

, and

C

will win are

10 %

. What is the probability that exactly one of

A

or

B

or

C

will win?

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 9

A' s

chance of winning a single game against

B

is

\frac{3}{4}

. Find the chance that in a series of five games with

B, A

wins exactly

3

games?

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 10

It is known that at noon, the sun is hidden by clouds on an average of two days out of every three days. Find the probability that at noon on at least four out of five days the sun will be shining.

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 11

If on average

1

vessel in every

10

is wrecked, find the chance that out of

5

vessels expected

4

at least will arrive safely.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 12

Two fair dice are thrown. What is the probability that the number of dots on the first dice exceeds

3

and that on the second exceeds

4

?