A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then $\displaystyle P(A \cup B)$ is

Twenty bags or sugar, each marked 10 kg actually give the following data:

The lower limits of the classes are inclusive and the upper limits are exclusive.

What is the probability that the bag selected at random (without any reference) weighs 10 kg or more?

In an experiment, there are exactly three elementary events. The probability of two of them are $\displaystyle\frac{2}{7}$ and $\displaystyle\frac{1}{7}$. What is the probability of third event?

If $n(A)=6,n(B)=8$ and $n(A\cup B)=12$, then $n(A\cap B)=$

Let A be a set of $4$ elements. From the set of all functions from A to A, the probability that it is an into function is?

From a well shuffled standard pack of $52$ playing cards, one card is drawn. What is the probability that it is either a King of hearts or a Queen of diamonds.

If a coin is tossed twice, then the events 'occurrence of one head',  'occurrence of $2$ heads' and 'occurrence of no head' are -

If events A and B are independent and P(A) $=$ 0.15, P(A $\cup $ B) $=$ 0.45, Then P(B) $=$ ..............

A card is randomly drawn from a well shuffled pack of $52$ playing cards. The probability that it is a club or numbered $5$ is 

A die is thrown. Let $A$ be the event that the number obtained is greater than $3$. Let $B$ be the event that the number obtained is less than $5$. Then $(A\cup B)$ is

Assume that the birth of a boy or girl to a couple to be equally likely,mutually exclusive exhaustive and independent of the other children in the family for a couple having $6$ children the probability that their 'three oldest are boy'is

If  $A$ and $B$ are two independent events such that $P\left({A}^{\prime}\right)=0.7,  P\left({B}^{\prime}\right)=p$ and $P\left( A\cup B \right) =0.8,$ then the value of $p$ is 

One card is drawn from a pack of $52$ cards. The probability that the card picked is either a spade or a king.

In a survey conducted among 400 students of X standard in Pune district, 187 offered to join Science faculty after X std. and 125 students offered to join Commerce faculty after X, If a student is selected at random from this group. Find the probability that student prefers Science or Commerce faculty.

An integer is chosen at random from the first two hundred digits.What is the probability that the integer chosen is divisible by 6 or 8 ?

A die is thrown. Let $A$ be the event that the number obtained is greater than $3$. Let $B$ be the event that the number obtained is less than $5$. Then $P(A \cup B)$

A die is thrown. Let A be the event that the number obtained is greater than 3. Let$B$ be the event that the number obtained is less than 5. Then $P(A\cup B)$ is 

A card is drawn is from pack of 52 cards. Find the probability of drawing '5' of spade or '8' of hearts

A box contains 5 red balls, 8 green balls and 10 pink balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?

An institute organised a fete and ${1}/{5}$ of the girls and ${1}/{8}$ of the boys participated in the same. What fraction of the total number of students took part in the fete?

A husband and a wife appear in an interview for two vacancies in the same post. The probability of husband`s selection is $\dfrac {1}{7}$ and that of wife's selection is $\dfrac {1}{5}$. What is the probability that only one of them will be selected?

A number $x$ is selected from first $100$ natural numbers. Find the probability that $x$ satisfies the condition $x+ \dfrac{100}{x} >50$

$A$ speaks the truth in $60\%$ cases and $B$ in $70\%$ cases. The probability that they will say the same thing while describing a single event is:

In a single throw of two dice, the probability of obtaining a total of $7$ or $9,$ is:

The chance of throwing a total of $3$ or $5$ or $11$ with two dice is:

If A and B are mutually exclusive events such that $P(A)=\frac{3}{5}$ and $ P(B)=\frac{1}{5}$, then find $P(A \cup B)$. 

Two dice each numbered from $1$ to $6$ are thrown together. Let $A$ and $B$ be two events given by
$A:$ even number on the first die
$B:$  number on the second die is greater than $4$

If $A$ and $B$ are two events such that $P(A\cup B)=\cfrac { 3 }{ 4 } ,P(A\cap B)=\cfrac { 1 }{ 4 } ,P(\bar { A } )=\cfrac { 2 }{ 3 } $ where $\bar { A } $ is the complement of $A$, then what is $P(B)$ equal to?

A is interviewed for $3$ posts. There are $3$ candidates for post $1,4$ for second post and $2$ for post No. three. The probability of A's being selected for at least one post is:

Find the probability of getting a total of $7$ or $11$ when a pair of dice is tossed.

A is interviewed for $3$ posts. There are $3$ candidates for post $1, 4$ for second post and $2$ for post No. three. The probability of A's being selected for none of the posts is:

A number is selected at random from first thirty natural numbers. What is the chance that it is a multiple of either $3$ or $13$?

If $P(A)=\dfrac {1}{8}$ and $P(B)=\dfrac {5}{8}$. Which of the following statement is/are not correct?

Addition Theorem of Probability states that for any two events $A$ and $B$,

A, B and C in order toss a coin. the first one to throw a head wins. If A starts to toss, then 

A bag contain $5$ balls of unknown colors. A ball is drawn at random from it and is found to be white. The probability that bag contains only white ball is

n men and n women are seated at round table in random order. The probability that they can be divided into n non-interrecting pairs so that each pair consists of a man and a women is

A is interviewed for $3$ posts. There are $4$ candidates for post $1, 3$ for second post and $5$ for post No. three. The probability of A's being selected for at least one post is:

$A$ is interviewed for $3$ posts. There are $4$ candidates for post $1, 3$ for second post and $5$ for post No. three. the probability of $A$'s being selected for none of the posts is:

Two dice are thrown simultaneously 500 times. Each time the sum of two numbers appearing on their tops is noted and recorded as given in the following table:

If the dice are thrown once more, what is the probability of getting a sum between 8 and 12?