Probability
Math ⇒ Statistics and Probability
Probability starts at 7 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Probability.
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See sample questions for grade 12
A bag contains 6 green and 4 yellow balls. Two balls are drawn at random without replacement. What is the probability that both are green?
A box contains 10 bulbs, 3 of which are defective. If one bulb is drawn at random, what is the probability that it is not defective?
A box contains 4 white, 3 black, and 2 red balls. If one ball is drawn at random, what is the probability that it is not black?
A card is drawn at random from a standard deck. What is the probability that it is either a heart or a king?
A card is drawn from a standard deck of 52 cards. What is the probability that it is a face card (Jack, Queen, or King)?
A die is rolled twice. What is the probability that both rolls result in an even number?
A fair coin is tossed three times. What is the probability of getting exactly two heads?
A family has two children. What is the probability that both are boys, assuming each child is equally likely to be a boy or a girl?
A number is chosen at random from 1 to 100. What is the probability that it is a multiple of 5?
Define mutually exclusive events.
Explain the difference between theoretical and experimental probability.
If a die is rolled, what is the probability of getting a number greater than 4?
If P(A) = 0.4, P(B) = 0.5, and A and B are mutually exclusive, what is P(A ∪ B)?
If P(A) = 0.6, P(B) = 0.5, and P(A ∩ B) = 0.3, what is P(A ∪ B)?
If P(A|B) = 0.5 and P(B) = 0.2, what is P(A ∩ B)?
If the probability of an event A is 0.3, what is the probability of the event 'not A'?
State Bayes’ theorem.
State the addition law of probability for two events.
What is the probability of getting a sum of 7 when two fair six-sided dice are rolled?
What is the sample space when tossing two coins?
