Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 31

MEDIUM

JEE Main/Advance

IMPORTANT

Earn 100

Out of all positive integral divisors of $240$ one of them is selected then the probability that it is in the form $4 n + 2, (n \geq 0)$ is $\frac{1}{N}$ then $N$ is

33.33% studentsanswered this correctly

Important Questions on Probability

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 9

Two numbers are selected randomly from set

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

without replacement one by one. The probability that a minimum of two number is less than

4,

is

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 13

Out of

n

persons sitting at a round table, three,

A, B, C

are chosen at random. The chance that no two of these three are sitting next to one another is

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 1

If

P (A)

and

P (B)

are the probabilities of occurrence of two events

A

and

B

, then the probability that exactly one of the two events occur, is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 32

If four squares are chosen at random on a chess board. If the probability that they lie on a diagonal line is

P

then

158844 P

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 33

A, B

and

C

, play a game and chances of their winning it in an attempt are

\frac{2}{3}, \frac{1}{2}

and

\frac{1}{4}

, respectively.

A

, has the first chance followed by

B

, and then by

C

. This is repeated till one of them wins the game. Let

x, y, z

, are their respective chances of winning the game, then

\frac{x}{z}

, is

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 14

A number

k

is selected from the set

\{1, 2, 3, 4, \dots . 10\}

. If

k^{2} - 4 k + 3 < 0

then the probability is

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 15

The rod of length

10 cm

is broken into three parts, so that each part is having a length as an integral multiple of

1 cm

. The probability that the parts are forming a triangle, is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 2

Two events

A

and

B

have probability

0.25

and

0.5

respectively. The probability that both

A

and

B

occur simultaneously is

0.14

. Then the probability that neither

A

nor

B

occur is