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?

50% studentsanswered this correctly

Important Questions on Probability

MEDIUM

Mathematics>Algebra>Probability>Basics of Probability

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

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Mathematics>Algebra>Probability>Basics of Probability

What will be the addition of the probability of incident "

E

" and incident "

E

not".

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Mathematics>Algebra>Probability>Basics of Probability

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

EASY

Mathematics>Algebra>Probability>Basics of Probability

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

HARD

Mathematics>Algebra>Probability>Basics of Probability

\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

EASY

Mathematics>Algebra>Probability>Basics of Probability

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

EASY

Mathematics>Algebra>Probability>Basics of Probability

What is the probability of a sure event?

HARD

Mathematics>Algebra>Probability>Basics of Probability

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 :

EASY

Mathematics>Algebra>Probability>Basics of Probability

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

MEDIUM

Mathematics>Algebra>Probability>Basics of Probability

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>Basics of Probability

For a question paper of solving, the probability of scoring

101

marks is _____

MEDIUM

Mathematics>Algebra>Probability>Basics of Probability

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:

EASY

Mathematics>Algebra>Probability>Basics of Probability

If an event cannot occur, then its probability is :

EASY

Mathematics>Algebra>Probability>Basics of Probability

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

HARD

Mathematics>Algebra>Probability>Basics of Probability

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

HARD

Mathematics>Algebra>Probability>Basics of Probability

If the lengths of the sides of a triangle are decided by the three throws of a single fair die, then the probability that the triangle is of maximum area given that it is an isosceles triangle, is:

HARD

Mathematics>Algebra>Probability>Basics of Probability

Let

X

be a set containing

10

elements and

P (X)

be its power set. If

A

and

B

are picked up at random from

P (X)

, with replacement, then the probability that

A

and

B

have equal number of elements is:

EASY

Mathematics>Algebra>Probability>Basics of Probability

What will be the addition of the probability of incident "

E

" and incident "

E

not".

MEDIUM

Mathematics>Algebra>Probability>Basics of Probability

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>Basics of Probability

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}) ?

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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