Junior IGCSE classwork questions on propability?

1. A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of randomly selecting a red ball from the bag?

2. A standard deck of playing cards contains 52 cards, including 4 suits (hearts, diamonds, clubs, spades) with 13 cards each. What is the probability of drawing a heart from the deck?

3. A fair six-sided die is rolled. What is the probability of rolling a number less than 4?

4. A box contains 10 marbles, 4 of which are red and 6 of which are blue. If a marble is randomly selected from the box, what is the probability of selecting a red marble?

5. A spinner is divided into 8 equal sections, numbered 1 through 8. What is the probability of spinning a number greater than 5?

6. A bag contains 12 candies, 5 of which are chocolate and 7 of which are caramel. If a candy is randomly selected from the bag, what is the probability of selecting a chocolate candy?

7. A coin is flipped 3 times. What is the probability of getting exactly 2 heads?

8. A box contains 20 balls, 8 of which are white and 12 of which are black. If 2 balls are randomly selected from the box without replacement, what is the probability of selecting 1 white ball and 1 black ball?

9. A standard deck of playing cards is shuffled and a card is drawn. What is the probability of drawing a face card (jack, queen, king)?

10. A bag contains 6 red marbles, 4 blue marbles, and 2 green marbles. If a marble is randomly selected from the bag and not replaced, what is the probability of selecting a blue marble on the second draw after selecting a red marble on the first draw?

Question 1:

A bag contains 5 red balls, 3 blue balls, and 2 green balls.

a) What is the probability of selecting a green ball?
b) What is the probability of selecting a non-blue ball?
c) If a ball is selected at random, what is the probability that it is not replaced before a second ball is selected?

Question 2:

Two dice are rolled simultaneously.

a) What is the probability of rolling a total of 7?
b) What is the probability of rolling a double (two identical numbers)?
c) What is the probability of rolling two odd numbers?

Question 3:

A box contains 12 marbles of different colors: 3 red, 4 blue, and 5 green. Two marbles are drawn at random without replacement.

a) What is the probability of drawing a red marble first and a blue marble second?
b) What is the probability of drawing two green marbles?
c) What is the probability of drawing a red marble or a blue marble?

Question 4:

A survey of 100 students found that 60 students like soccer, 40 students like basketball, and 20 students like both soccer and basketball.

a) What is the probability that a randomly selected student likes soccer or basketball?
b) What is the probability that a randomly selected student who likes soccer also likes basketball?
c) What is the conditional probability that a student likes basketball given that they like soccer?

Question 5:

A company has two machines that produce light bulbs. Machine A produces 80% defective bulbs, while Machine B produces 20% defective bulbs. If a light bulb is selected at random,

a) What is the probability that it is defective?
b) If the light bulb is defective, what is the probability that it was produced by Machine A?