Probability, Permutation and Combination

The total income of Habib in 2017, 2018 and 2019 was Tk 36,400. His income increased by 20% each year. What was his income in 2019?

There are 15 boys and 10 girls in a class. If three students are selected at random, what she probability that 1 girl and 2 boys are selected?

A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is

A bag contains 7 red, 9 yellow and 3 black balls. If a ball is picked at random, what is the probability that the ball drawn will be either a red or a black ball.

A shopkeeper buys 100 mangoes at Tk. 12 each. He sells 60 mangoes at Tk. 17.40 each and x mangoes at Tk. 11.31 each. The shopkeeper makes a profit of at least 10%. Find the least possible value of x.

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King) only?

A fair six sided dice is rolled. Find the probability of getting an odd number or a number less than 4.

At a party, everyone shakes hands with everybody else. If there were 66 handshakes, how many people were at the party?

If four fair coins are flipped, what is the probability that they all will come up heads?

Mr X will be the Chairman of the committee . In how many ways can a committee of 5 members be chosen from a total of 8 people given that Mr. X must be one them?

A bag contains 2 red, 3 green and 2 blue balls. If two balls are drawn at random, what is the probability that none of the balls drawn is blue?

There is a point in a circle. What is the probability that this point is closer to its circumference than to the center?

In an election contested by two parties, Party D secured 12% of the total votes more than party R. If party R got 132,000 votes, by how many votes did it lose the election?

A salesman receives daily wage of Tk. 250 and earns a commission of 15% on all sales he makes. How much taka worth of sales does he need to make in order to bring his total daily income of Tk. 1,000?

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is

What is the probability of impossible events?

How many ways the letters of the word 'BANKS' can be arranged?

A coin is tossed twice. What is the probability of getting head on first toss and tail on second toss?

In how many ways a team of 11 members can be formed from a group of 15 students if a students who is the owner of the ball is always considered a member of the team?

How many 5 digit numbers have 9 as the first digit, 3 or 6 as the third digit and no digit is repeated?