Probability of an Event

A fair coin is tossed three times. What is the probability of getting either $3$ heads or $3$ tails?

Study the following information to answer the questions given below. In a box there are $4$ blue, $4$ red, $4$ white and $4$ black balls. Four balls are picked up randomly, what is the probability of the following event to occur not even one out of the four is white_____?

There are $50$ tickets in a lottery in which there is a first and second prize. What is the probability of a man drawing a prize if he owns $5$ tickets?

Numbers $1$ to $10$are written on ten separates slips (one number on one slip ), kept in a box, and mixed well. One slip is chosen from the box without looking into it. Answer the following questions.

What is the probability of getting a number greater than $6$?

The probability that both stages of a two-stage rocket to function correctly is $0.92$. The reliability of the first stage is $0.97$. What is the reliability of the second stage?

Numbers $1$ to $10$are written on ten separates slips (one number on one slip ), kept in a box and mixed well. One slip is chosen from the box without looking into it. Answer the following questions.

What is the probability of getting an even number?

Study the information carefully to answer the following questions.
An urn contains $5$ red, $3$ green, $2$ blue and $4$ yellow marbles.
If three marbles are picked at random, what is the probability that at least one is yellow?

A bag contains three white and five black balls. If two balls are drawn in succession without replacement, what is the probability that both balls are black?

Study the given information and answer the following question --
An urn contains $4$ Green, $3$ Red and $5$ Blue balls.
What is the probability that at least one is Blue, if $4$ balls are picked at random ?

Study the following information to answer the questions given below.

In a box there are $4$ Blue, $4$ Red, $4$ White and $4$ Black balls. Four balls are picked up randomly, what is the probability of the following event to occur?

If at least one red ball is picked up randomly.

Roll a pair of dice. What is the probability that the sum of two numbers is $11$?

Numbers $1$to $10$are written on ten separates slips (one number on one slip ), kept in a box, and mixed well. One slip is chosen from the box without looking into it .  Answer the following questions.

What is the probability of getting a $1-$digit number ?

A bag contains three white and five red balls. If two balls are drawn at random, find the probability that both are white.

A bag contains $3$ white and $5$ black balls. If two balls are drawn in succession without replacement, what is the probability that both balls are black?

Three unbiased coins are tossed. What is the probability of getting at most two heads?

Numbers $1 \mathrm{to} 10$ are written on ten separates slips (one number on one slip), kept in a box, and mixed well. One slip is chosen from the box without looking into it. Answer the following questions.

What is the probability of getting a number less than $6$?

Three identical dice are rolled. The probability that the same number will appear on each of them is

Two events $A$ and $B$ have probabilities $0.25$ and $0.50$ respectively. The probability that both $A$ and $B$ occur simultaneously is $\mathrm{0.14.}$ Then the probability that neither $A$ nor $B$ occurs is:

If the integers $m \& n$ are chosen at random from $1$ to $100$, then the probability that a number of the form $7^m+7^n$ is divisible by $5$ equals:

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral, equals