In an aptitude exam, there are 5 multiple choice questions each have a single correct answer. If a student attempts the exam ,find the number of ways in which he can answer all the questions correctly .
Out of 20 students in a class, 4 students failed in Science, two students are chosen at random from this class. What is the probability that at least one of these students failed in Science?
How many 4-letter words can be formed using these letters such that at least one letter of the word is a vowel?
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.
In how many ways 8 persons can sit around a circle such that a group of 3 friends always sits together?
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?
In how many ways word (ORGANISE) can be organized such that all vowels and consonants come together?
How many words can be formed from the letters of the word SIGNATURE so that vowels always come together?
An unbiased coin is tossed. Find the probability of getting a tail.
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 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.
Two dice are thrown together, find the probability that the sum of the two numbers appearing on the dice is divisible by 5.
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.
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.
