If a student is picked randomly from a class of 40 students, what is the probability that his name starts with a vowel? Assume that there is no bias towards name starting with any letter.

An analog clock stops suddenly. What is the probability that it stops exactly at time 10:10? Assume the needles to be lines.

A couple has two children. What is the probability that they have one son and one daughter? Assume that there is no bias towards son or daughter.

Students in a class of strength 'p' have roll numbers 1, 2, 3, 4… p - 1, p. Take a student with roll number 'n'. What is the probability that either he or someone with a roll number higher than him is selected at random?

There are 20 balls in a box out of which 4 are red, 9 are black and remaining are of some other colour. There is some probability of a red ball being selected in a random selection from the box. Which of the following actions will increase this probability?

In a family of 5 persons (father, mother, a son and two daughters), 2 are to be selected randomly to go out for dinner. What is the probability that at least one of the daughters is selected for this purpose?

In a box, there are 5 plastic balls and 10 wooden balls. Out of the 5 plastic balls, 3 are red and 2 are green. Similarly, the 10 wooden balls have 3 red and 7 green. What is the probability that a ball drawn from the box is either a plastic ball or red in color?

Four students reached late in a class and made an excuse to the teacher that they had a flat tyre while coming to the college by car. The teacher asked them to sit at four distant seats and made them to answer the same question “which tyre of the car was flat”? What is the probability that all the four give the same answer and their lie is not caught? Assume that students had told lie to the teacher and they will now select their answers randomly.

There are 20 students in a class. Vinod is one of them. The teacher picks one student randomly at the end of the class and asks him a question. This system has been followed to keep the students attentive in the class. Which of the following cases will have the highest probability of Vinod being picked?

In a City, 30% of the population is obese. Out of obese people 70% are female. What is the probability that a person randomly selected from the city is a female?

A player pulls a card from a pack of 6 cards numbered 1, 2, 3, 4, 5 and 6 respectively. Then he pulls another card without replacing the first card. What is the probability that he gets the card numbered 2 when he pulls the card second time?

In a class of 70 students, there are 5 students who are better than others and they have double the chance of being placed at the first rank in a test in comparison to other students. Vijay is not among these five. What is the probability that Vijay gets the first rank in the test?

A pack of card has cards numbered 1, 2, 3, 4, 5 and 6 respectively. The number of cards with a number is equal to the number itself. It means that the pack contains one card numbered 1, two cards numbered 2, three cards numbered 3 and so on. If a card is pulled randomly from the pack, what is the probability that the card has an even number on it?

In a box of 30 balls, 10 balls are red and 20 green. Three balls have been drawn randomly from the box, in which 2 balls drawn are red and 1 ball is green. Now, another ball is drawn from the box without replacing already drawn balls. What change happens in the probability of a red ball being drawn compared to the same at the beginning?

A card is drawn from a standard pack of playing cards. It is known that this card is red. What is the probability that it is a King? (A standard pack of playing cards has 52 cards. They are in 2 colors – red and black. There are 4 suits Spades, Hearts, Diamonds and Clubs. Each suit has 13 cards: Ace, 2, 3, --- 9, 10, Jack, Queen and King. Hearts and Diamonds are red in color while Spades and Clubs are black.)