Probability

If $A$ and $B$ are two events such that $P(A)=0.54$, $P(B)=0.69$ and $P(A\cap B)=0.35$, then $P\left( A\cap B^{'} \right)$ is

A letter is chosen at random from the word 'ASSASSINATION'. Find the probability that letter is a vowel.

A card is drawn from a well-shuffled deck of 52 cards. Then the odds against getting a spade is

Given $X\sim B(n,p)$. If $n=10$ and $p=0.4$, find $E(X)$ and $Var(X)$.

In a binomial distribution ${\left( \dfrac{1}{5}+\dfrac{4}{5} \right)}^{5}$, the parameters $n$ and $p$ respectively are

In the single throw of a die, a random variable $X$ is defined as the number on its upper face. Find the mean of $X$.

The probability that event A happens in a trial is 0.4. If three independent trials are made, then the probability that A happens at least once is.......

A fair die is thrown 4 times. If getting a prime number on the die is considered as a success, then the probability of getting no success at all is ...

In a single toss of a fair die, the odds against the event that number 4 or 5 turns up is

In a certain town, 40% persons have brown hair, 25% have brown eyes and 15% have both. If a person selected at random has brown hair, the chance that a person selected at random with brown hair is with brown eyes is

An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?

If $A$ and $B$ are independent events such that $P(A)>0$ and $P(B)>0$, then which of the following is not true?

A coin is tossed n times. The probability of getting head atleast once is greater than 0.8 , then the least value of n is

8 coins are tossed simultaneously. The probability of getting exactly 6 heads is

The probability of getting sum more than 7 when a pair of dice are thrown is