MEDIUM

Earn 100

If the chance that a leap year will have $53$ Sunday or $53$ Monday is $P$ . Then number $14 P + 1$

33.33% studentsanswered this correctly

Important Questions on Probability

EASY

Mathematics>Statistics and Probability>Probability>Basics of Probability

A

and

B

are two events such that

P (A) \neq 0

and

P (B| A) = 1

, then

EASY

Mathematics>Statistics and Probability>Probability>Basics of Probability

An urn contains

5

red and

2

green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is added to the urn and if the drawn ball is red, then a green ball is added to the urn; the original ball is not returned to the urn. Now, a second ball is drawn at random from it. The probability that the second ball is red, is:

MEDIUM

Mathematics>Statistics and Probability>Probability>Basics of Probability

For the following distribution function $F (x)$ of a random variable $X$

$x$	$1$	$2$	$3$	$4$	$5$	$6$
$F (x)$	$0.2$	$0.37$	$0.48$	$0.62$	$0.85$	$1$

$P (3 < X \leq 5) =$

MEDIUM

Mathematics>Statistics and Probability>Probability>Basics of Probability

Let

A

and

B

be two non-null events such that

A \subset B .

Then, which of the following statements is always correct?

MEDIUM

Mathematics>Statistics and Probability>Probability>Basics of Probability

Six persons $A, B, C, X, Y & Z$ go for an interview. What is the probability of selection of $A$ and $Y$ in the interview?

MEDIUM

Mathematics>Statistics and Probability>Probability>Basics of Probability

A bag contains

4

red and

6

black balls. A ball is drawn at random from the bag, its color is observed and this ball along with two additional balls of the same color are returned to the bag. If now a ball is drawn at random from the bag, then the probability that this drawn ball is red, is:

EASY

Mathematics>Statistics and Probability>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)

MEDIUM

Mathematics>Statistics and Probability>Probability>Basics of Probability

A man speaks truth 2 out of 3 times. He picks one of the natural numbers in the set $S = {1, 2, 3, 4, 5, 6, 7}$ and reports that it is even. The probability that it is actually even is

EASY

Mathematics>Statistics and Probability>Probability>Basics of Probability

In a college, $\frac{1}{5} t h$ of the girls and $\frac{1}{8} th$ of the boys took part in a social camp. The total number of students in the college took part in the camp is:

HARD

Mathematics>Statistics and Probability>Probability>Basics of Probability

Four dice are thrown simultaneously and the numbers shown on these dice are recorded in

2 \times 2

matrices. The probability that such formed matrices have all different entries and are non-singular, is:

MEDIUM

Mathematics>Statistics and Probability>Probability>Basics of Probability

Assume that each born child is equally likely to be a boy or girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is:

MEDIUM

Mathematics>Statistics and Probability>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?

EASY

Mathematics>Statistics and Probability>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

EASY

Mathematics>Statistics and Probability>Probability>Basics of Probability

A

and

B

are any two events such that

P (A) + P (B) - P (A a n d B) = P (A)

, then

MEDIUM

Mathematics>Statistics and Probability>Probability>Basics of Probability

The probability of guessing correctly at least

8

out of

10

answers on a true-false type examination is

EASY

Mathematics>Statistics and Probability>Probability>Basics of Probability

It is given that the events

A

and

B

are such that

P (A) = \frac{1}{4}, P (A ∣ B) = \frac{1}{2}

and

P (B ∣ A) = \frac{2}{3}

. Then

P (B)

MEDIUM

Mathematics>Statistics and Probability>Probability>Basics of Probability

Two letters are chosen from the letters of the word 'EQUATIONS'. The probability that one is vowel and the other is consonant is

MEDIUM

Mathematics>Statistics and Probability>Probability>Basics of Probability

Two persons

A

and

B

throw a die alternatively till one of them gets a three and wins the game. Find their respective probabilities of winning.

MEDIUM

Mathematics>Statistics and Probability>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>Statistics and Probability>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}) ?

If the chance that a leap year will have 53 Sunday or 53 Monday is P. Then number 14P +1

Important Questions on Probability

Learn and Prepare for any exam you want !

If the chance that a leap year will have $53$ Sunday or $53$ Monday is $P$ . Then number $14 P + 1$