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Worksheet: Probability of Compound Events
Q10:
A bag contains 32 balls. There 27 red balls, which are numbered from 1 to 27, and 5 white balls which are numbered from 28 to 32. If a ball is chosen at random from the bag, what is the probability that the ball is white or has an odd number?
- A
- B
- C
- D
- E
Q11:
A bag contains 18 balls, 5 of which are white, 9 are red, and 4 are black. If a ball is drawn at random, what is the probability of the ball being white or red?
- A
- B
- C
- D
Q12:
The table shows the number of tires, from a sample of 800, which needed to be replaced after a range of distances. Using the table, calculate the probability that a tire will need to be replaced after covering more than 50 kilometers.
| Distance | D 50 | 50 D 100 | 100 D 150 | D 150 |
|---|---|---|---|---|
| Number of Damaged Tires | 140 | 230 | 200 | 230 |
- A
- B
- C
- D
Q13:
In a sample of 55 people, 28 of them have brown hair and 22 of them have blue eyes. 5 of them have neither brown hair nor blue eyes. What is the probability that a random person from the sample has at least one of these features.
- A
- B
- C
- D
- E
Q14:
A bag contains 5 red balls, 2 yellow balls, and 4 black balls. What is the probability that a ball selected at random is red or yellow?
- A
- B
- C
- D
- E
Q15:
A bag contains 9 white marbles, 2 black marbles, and 8 red marbles. If a marble is chosen at random from the bag, what is the probability that it is black or white?
- A
- B
- C
- D
- E
Q16:
A bag contains colored balls, 18 of which are red. The rest of the balls are black. Two red balls are removed from the bag, and then a ball is drawn at random. What is the probability that the ball drawn is black, given that there were 99 balls in the bag at the start?
- A
- B
- C
- D
Q17:
Miles has a money box that contains 40 quarters, 6 dimes, 9 nickels, and 16 pennies. If he reaches into the box, what is the probability that the first coin he picks from the box is a dime or a nickel?
- A
- B0
- C
- D
- E
Q18:
A bag contains 9 red marbles, 17 white marbles, and 7 blue marbles. What is the probability of drawing at random a blue or a red marble?
- A
- B
- C
- D
- E
Q19:
A classroom has 24 boys and 10 girls, where 10 boys and 6 girls wear glasses. Calculate the probability that a randomly selected student is a girl or wears glasses.
- A
- B
- C
- D
- E
Q20:
and are independent events, where and . What is the probability that events and both occur?
- A
- B
- C
- D
- E
Q21:
A fair six-sided die with the numbers 1 to 6 is rolled, and a fair coin is flipped. What is the probability that the number obtained on the die is a factor of 12 and the coin lands with its heads side down?
- A
- B
- C
- D
- E
Q22:
The given table shows the prizes at a lottery event. What is the probability of the first customer winning a car or a microwave?
| Prize | Vacuum Cleaner | Microwave | Refrigerator | Car |
|---|---|---|---|---|
| Number | 10 | 2 | 6 | 4 |
- A
- B
- C
- D
- E
Q23:
A bag contains 54 raffle tickets numbered 1 through 54. What is the probability that a randomly chosen ticket carries a number greater than 39 or less than 10?
- A
- B
- C
- D
- E
Q24:
For two events and , when is it true that ?
- A when one of the events is a subset of the other
- B when the events are disjoint
- C when the events are intersected
- D when the events are independent
- E when the events are dependent
Q25:
If these two spinners are spun, what is the probability that the sum of the numbers the arrows land on is a multiple of 9?
- A
- B
- C
- D