An unbiased coin is tossed 4 times. Find the probability that tail will appear exactly twice.

In a tournament, Bhubaneswar Premier League, seven teams participated out of which top three will win the prize. In how many ways can prizes be distributed?

Two dice are rolled simultaneously. Find the probability that one of them shows a number which is at least 4 and the other shows a number which is at most 3.

If three balls are picked at random, what is the probability that at least one is red?

In the Casino Paradise, a dice is rolled and a player wins the amount. If the number rolled on dice is either prime or even. What is the probability that the player will win?

If there are ten letters and ten envelopes, I have placed the nine letters in right envelopes, in how many can I put the last one letter in wrong envelope?

How many of these words have no two vowels next to each other?

The probability of occurrence of two events A and B is $\frac{1}{4}$ and $\frac{1}{8}$ respectively. If the probability of both A and B happen simultaneously is$\frac{4}{25}$. What is the probability of occurrence of either A or B?

A number (N) is chosen from (A) where A is set comprising of [–4, –3, 2, –9, 10, 12, 13]. What is probability that |N| < 10. 

Two cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of both being black honours.

What is the probability of getting a number greater than 1 if an unbiased dice is thrown? 

A bag contains 4 white balls and 5 blue balls. If a ball is drawn at random, find the probability that it is either a white ball or a red ball.

A six face die, an eight face die and ten face die are thrown together. What is the probable number of outcomes if all the faces of three dice are different.

In how many different ways letter of word ‘BANKING’ can be arranged?

If X, Y and Z are three mutually exclusive and exhaustive events, if  $P(X)=\frac{1}{8}P(Z)$ and $P(Y)=\frac{1}{4}P(Z)$. Find the value of $P(Z)$.