A fair die is rolled twice. What is the probability of getting a 6 on both rolls? Are these events independent or dependent?

A bag contains 5 red and 3 blue marbles. A marble is drawn at random and not replaced. A second marble is then drawn. What is the probability that both marbles are red?

Represent the experiment in question 2 using a tree diagram, showing all probabilities on the branches.

Using the tree diagram from question 3, find the probability that the two marbles drawn are of different colours.

A box contains 3 white shirts and 4 black shirts. Two shirts are drawn one by one without replacement. Represent the sample space on a grid.

Using the grid from question 5, find the probability of drawing at least one white shirt.

The probability that it will rain on a given day is 0.4. If it rains, the probability that a team wins its match is 0.7. If it does not rain, the probability that the team wins is 0.5. What is the probability that the team wins its match on that day?

In a class, 60% of students are boys. If a student is a boy, the probability he likes mathematics is 0.8. If a student is a girl, the probability she likes mathematics is 0.7. Find the probability that a randomly selected student likes mathematics.

A box has 2 red, 3 green, and 5 blue pens. A pen is drawn and not replaced. A second pen is drawn. What is the probability of drawing a red pen then a green pen?

In the experiment from question 9, what is the probability of drawing one red and one green pen in any order?

From a standard deck of 52 cards, two cards are drawn without replacement. What is the probability of drawing two Aces?

Use the complement rule to find the probability of getting "at least one tail" when a fair coin is tossed three times.

Box A contains 4 red and 2 white balls. Box B contains 3 red and 5 white balls. A ball is drawn from Box A and placed in Box B. Then a ball is drawn from Box B. What is the probability that the ball drawn from Box B is red?

Two events A and B are such that P(A)=0.5, P(B)=0.3 and P(A∩B)=0.1. Find P(A∪B).

A student answers a multiple-choice quiz with 3 questions. Each question has 4 options, only one of which is correct. If the student guesses every answer, what is the probability that they get exactly two questions correct?