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When a perfect die is rolled, the probability of getting a face with $4$ points upward is

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Important Questions on Probability

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Mathematics>Algebra>Probability>Basics of Probability

The probability that among

7

persons, no

2

were born on the same day of a week is

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Mathematics>Algebra>Probability>Basics of Probability

If $A$ and $B$ are mutually exclusive events given that $P (A) = 3 / 5, P (B) = 1 / 5$ , then $P$ ( $A$ or $B$ ) is

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Mathematics>Algebra>Probability>Basics of Probability

Three dice are rolled once. The chance of getting a score of

5

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Mathematics>Algebra>Probability>Basics of Probability

A card is drawn from a well-shuffled standard deck of cards. What is the probability that the card drawn is either an ace or a jack or a king?

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Mathematics>Algebra>Probability>Basics of Probability

Let

A

and

B

be two events such that the probability that exactly one of them occurs is

\frac{2}{5}

and the probability that

A

B

occurs is

\frac{1}{2}

, then the probability of both of them occur together is

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Mathematics>Algebra>Probability>Basics of Probability

The probability of solving a problem in Mathematics by two students

X

and

Y

are

\frac{1}{4}

and

\frac{1}{5}

, respectively. If both of them try to solve the problem independently, then the probability that the problem will be solved by exactly one of them is equal to

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Mathematics>Algebra>Probability>Basics of Probability

Consider an experiment

E

in which a box contains

10

identical tickets numbered

1

10

and

2

tickets are drawn at random from the box. What is the probability that both the tickets have even numbers on them?

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Mathematics>Algebra>Probability>Basics of Probability

One card is selected at random from

27

cards numbered form

1

27

. What is the probability that the number on the card is even or divisible by

5

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Mathematics>Algebra>Probability>Basics of Probability

Let

A

and

B

are two independent events. If the probability that both

A

and

B

occur together is

\frac{1}{6}

and the probability that neither of them occurs is

\frac{1}{3}

, then the probability of occurrence of

A

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Mathematics>Algebra>Probability>Basics of Probability

A problem in mathematics is given to

4

students whose chances of solving individually are

\frac{1}{2}, \frac{1}{3}, \frac{1}{4}

and

\frac{1}{5} .

The probability that the problem will be solved at least by one student is

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Mathematics>Algebra>Probability>Basics of Probability

A box contains

3

red balls and

3

green balls. Two balls are picked up consecutively without replacement. If a green ball is picked up in the first turn, what is the probability of picking up a green ball again in the second turn?

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Mathematics>Algebra>Probability>Basics of Probability

A determinant of second order is made with the elements 0, 1. What is the probability that the determinant is positive?

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Mathematics>Algebra>Probability>Basics of Probability

P (A) = 0.59, P (B) = 0.30

and

P (A \cap B) = 0.21

then

P (A^{'} \cap B^{'}) =

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Mathematics>Algebra>Probability>Basics of Probability

The probability that a randomly selected

2 -

digit number belongs to the set

\{n \in N : (2^{n} - 2)

is a multiple of

3}

is equal to

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Mathematics>Algebra>Probability>Basics of Probability

Let

A

and

B

be independent events such that

P (A) = p, P (B) = 2 p

. The largest value of

p

, for which

P

(exactly one of

A, B

occurs)

= \frac{5}{9}

, is:

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Mathematics>Algebra>Probability>Basics of Probability

Out of

40

consecutive integers two integers are drawn at random. The probability that their sum is odd is

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Mathematics>Algebra>Probability>Basics of Probability

A, B, C

are aiming to shoot a balloon.

A

will succeed

4

times out of

6

attempts. The chance of

B

to shoot the balloon is

3

out of

5

and that of

C

2

out of

3 .

If the three aim to shoot the balloon simultaneously, then the probability that at least two of them hit the balloon is

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Mathematics>Algebra>Probability>Basics of Probability

In a simultaneous throw of a pair of dice, the probability of getting a total of more than

7

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Mathematics>Algebra>Probability>Basics of Probability

If three dices are thrown then the probability that the sum of the numbers on their uppermost faces to be atleast

5

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Mathematics>Algebra>Probability>Basics of Probability

A

and

B

are events with

P (A \cup B) = \frac{3}{4}, P (A^{'}) = \frac{2}{3}

and

P (A \cap B) = \frac{1}{4}

then

P (B)

When a perfect die is rolled, the probability of getting a face with 4 points upward is

Important Questions on Probability

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When a perfect die is rolled, the probability of getting a face with $4$ points upward is