Probability, Permutation and Combination

What is the probability of getting a sum of six if two dice are thrown at once?

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is

Q. (33-56): Choose the correct answer.
In a container, there are 2 green marbles and 2 red marbles. You randomly pick the marbles. What is the probability that both of them are green?

X = { - 4, - 2, 1, 3}, Y = {- 1, 4, 5}. If x is a number from set X, and y is a number from set Y. The probability that x + y is positive is closest to-

A bag contains 30 balls numbered 1 to 30. Two balls are drawn at random. What is the probability that the balls drawn contain a number which is multiple of 4 or 6 but not a multiple of both?

Three coins are tossed. Find the probability of exactly 2 heads -

A card is randomly drawn from a deck of 52 cards. What is the probability of getting a king or Queen?

There are 8 marbles in a box 6 red and 2 black. If you randomly pick 2 marbles simultaneously what is the probability that you will get one red and 1 black marble?

From a total of 4 engineers and 6 technicians, a team of 3 has to be made, with at least 1 engineer. How many such teams are possible?

Five people want to rent the last two copies of a movie. How many ways can these five people rent the two movies?

A dice is rolled twice. What is the probability of getting a sum equal to 9?

In how many ways can the letters of the word ''APPLE'' be arranged?

If readymade shirts need alterations 2 out of 3 in sleeves, 3 out of 4 in collar and 4 out of 5 in the body, how many alterations will be required for 60 shirts?

A football team consisted of 14 boys . In how many ways the team can be chosen so that the owner of the ball is always in the team?

What is the probability that an integer selected at random from those between 10 and 100 inclusive is a multiple of 5 or 9?

In a container, there are 2 green marbles and 2 red marbles. You randomly pick the marbles. What is the probability that both of them are green?

A box contains 4 tennis ball, 6 season and 8 dues balls. 3 balls are randomly drawn from the box. What is the probability that the balls are different?

In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. What percent of the poor population are illiterate?

Wendy has 5 pairs and 8 shirts. How many different combinations can she make with these items?

All possible three digit numbers are formed by 1, 3, 5. If one number is chosen randomly, the probability that it would be divisible by 5 is –