EASY

Earn 100

Consider the following statements:

$1 .$ Two events are mutually exclusive If the occurrence of one event prevents the occurrence of the other.

$2 .$ The probability of the union of two mutually exclusive events is the sum of their individual probabilities.

Which of the above statements is/are correct?

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Important Questions on Probability

EASY

Mathematics>Algebra>Probability>Events

Let

A

and

B

are two mutually exclusive events with

P (A) = \frac{1}{3}

and

P (B) = \frac{1}{4} .

What is the value

P (\bar{A} \cap \bar{B}) ?

MEDIUM

Mathematics>Algebra>Probability>Events

Fifteen football players of a club-team are given

15

T-shirts with their names written on the backside. If the players pick up the T-shirts randomly, then the probability that at least

13

players pick the correct T-shirt is

EASY

Mathematics>Algebra>Probability>Events

The letters of the word

M A L A Y A L A M

are written in paper slips and put into a box. A child is asked to take one slip from the box without looking. What is the probability of not getting

A

EASY

Mathematics>Algebra>Probability>Events

A class consists of

80

students,

25

of them are girls and

55

are boys. If

10

of them are rich and rest poor and also

20

are intelligent, probability of choosing poor not intelligent boy is

EASY

Mathematics>Algebra>Probability>Events

What will be the addition of the probability of incident "

E

" and incident "

E

not".

EASY

Mathematics>Algebra>Probability>Events

Two dice are rolled. If each die has six faces which are numbered

2, 3, 5, 7, 11, 13

then the probability that sum of the numbers on the top faces being a prime number is

MEDIUM

Mathematics>Algebra>Probability>Events

Let

A and B

be two mutually exclusive events such that

P (A) = \frac{1}{2} and P (B) = \frac{1}{3}

. Write the value of

P (A \cap B)

EASY

Mathematics>Algebra>Probability>Events

A coin is tossed three times. If

X

denotes the absolute difference between the number of heads and the number of tails then

P (X = 1) =

EASY

Mathematics>Algebra>Probability>Events

What will be the addition of the probability of incident "

E

" and incident "

E

not".

EASY

Mathematics>Algebra>Probability>Events

What is the probability of a sure event?

EASY

Mathematics>Algebra>Probability>Events

For a question paper of solving, the probability of scoring

101

marks is _____

MEDIUM

Mathematics>Algebra>Probability>Events

A, B, C

are three mutually exclusive and exhaustive events of an experiment such that

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

, then

P (B)

is equal to

EASY

Mathematics>Algebra>Probability>Events

If an event cannot occur, then its probability is :

EASY

Mathematics>Algebra>Probability>Events

A

and

B

are mutually exclusive events such that

p (A) = 0.5

and

p (A \cup B) = 0.75

, then

P (B)

is equal to

EASY

Mathematics>Algebra>Probability>Events

Letters in the word

H U L U L U L U

are rearranged. The probability of all three

L

being together is

HARD

Mathematics>Algebra>Probability>Events

A multiple choice examination has

5

questions. Each question has three alternative answers out of which exactly one is correct. The probability that a student will get

4

or more correct answers just by guessing is :

HARD

Mathematics>Algebra>Probability>Events

If $12$ identical balls are to be placed in $3$ identical boxes, then the probability that one of the boxes contains exactly $3$ balls is

MEDIUM

Mathematics>Algebra>Probability>Events

If a point

A (x, y)

lies in the region bounded by the

y

-axis, straight lines

2 y + x = 6

and

5 x - 6 y = 30

, then the probability that

y < 1

HARD

Mathematics>Algebra>Probability>Events

\frac{1 + 3 P}{3}, \frac{1 - P}{4}

and

\frac{1 - 2 P}{2}

are the probabilities of three mutually exclusive events, then the set containing all the possible values of

P

MEDIUM

Mathematics>Algebra>Probability>Events

A person throws two fair dice. He wins Rs.

15

for throwing a doublet (same numbers on the two dice), wins Rs

12

when the throw results in the sum of

9

, and loses Rs.

6

for any other outcome on the throw. Then the expected gain/loss (in Rs.) of the person is:

Consider the following statements: 1. Two events are mutually exclusive If the occurrence of one event prevents the occurrence of the other. 2. The probability of the union of two mutually exclusive events is the sum of their individual probabilities. Which of the above statements is/are correct?

Important Questions on Probability

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