In how many ways word (ORGANISE) can be organized such that all vowels and consonants come together?
Two friends Juhi and Priyanka are traveling from Delhi to Dhanbad. There are only two trains, Train A and Train B and they need to travel by one of the two trains. The probability of Juhi traveling via Train A is and the probability of Priyanka traveling by train B is. Find the probability that both of them will travel on the same train.
Three cards are drawn simultaneously from a pack of cards. Find the probability that one of them is red, another is a spade and the third is a club.
A box contains 4 non-defective bulbs and 8 defective bulbs. If a bulb is drawn at random, then find the odds against getting a non-defective bulb.
There are 7 people sitting around a circular table. Find the number of ways they can be seated?
In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Professor Kumar has made a test of 10 questions each of which has four options, out of which only one is correct. In how many ways can a student answer the test?
A coin is tossed four times. Find the probability that there is at least one head.
A company produces mobile chargers by two machines P and Q. In a batch, machine P produced 2000 chargers out of which 10 were defective and machine Q produced 3000 chargers out of which 40 were defective. A supervisor picked a charger and found that it was defective, find the probability it was from machine P.
A bag contains 4 blue balls, 3 red balls and 5 grey balls. If two balls are drawn at random, what is the probability that both of them are of same colour.
There are 25 people in a room including a couple, "Romeo" and "Juliet." Find the number of ways in which they can be arranged around a circular table if there is exactly one person between Romeo and Juliet?
A terrorist is running on the road and three snipers of the army are taking a shot at it simultaneously. The probability of three snipers hitting the target are. Find the probability that exactly one of them shoots the terrorist.
A positive integer is selected at random and is divided by 12, what is the probability that the remainder is 6?
A bag contains 3 blue balls, 4 green balls and 5 red balls. A ball is drawn at random. Find the probability that it is not green?
Calculate the number of diagonals that can be drawn by joining the vertices of a decagon?
