# Worksheet: Compound Events

In this worksheet, we will practice determining the sample space and the probability of compound events.

**Q2: **

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

**Q3: **

In an experiment a coin is flipped and a die is rolled once. Event is the appearance of a head and a prime number. Event is the appearance of an even number. Find the probability of event or event occurring but not both.

- A
- B
- C
- D

**Q5: **

A coin is flipped three consecutive times. What is the probability of only getting one head?

- A
- B
- C
- D

**Q6: **

An experiment consists of flipping a coin and rolling a fair six sided die once. Determine the probability of event , the coin landing head side up and the dice landing with a prime number uppermost.

- A
- B
- C
- D
- E

**Q7: **

A card is drawn at random from a deck of cards numbered from 1 to 25. What is the probability that the card drawn has a number which is a factor of 10 or is even?

- A
- B1
- C0
- D
- E

**Q8: **

A bag contains 4 white marbles, 2 black marbles, and 5 red marbles. If a marble is selected at random, find the probability of selecting a black or a red marble.

- A
- B
- C
- D
- E

**Q11: **

If these two spinners are spun, what is the probability that the sum of the numbers the arrows land on is a multiple of 5?

- A
- B
- C
- D
- E

**Q12: **

A bag contains 32 balls. There are 27 red balls numbered from 1 to 27 and 5 white balls 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

**Q13: **

A bag contains 19 balls, 5 of which are white, 6 are red, and 8 are black. If a ball is drawn at random, what is the probability of the ball being black or white?

- A
- B
- C
- D
- E

**Q14: **

The table shows the number of tyres, from a sample of 800, which needed to be replaced after a range of distances. Using the table, calculate the probability that a tyre will need to be replaced after covering more than 50 kilometres.

Distance (km) | D 50 | 50 D 100 | 100 D 150 | D 150 |
---|---|---|---|---|

Number of Damaged Tyres | 140 | 230 | 200 | 230 |

- A
- B
- C
- D

**Q16: **

A bag contains 5 red balls, 9 yellow balls, and 6 black balls. What is the probability that a ball selected at random is red or black?

- A
- B
- C
- D
- E

**Q17: **

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

**Q18: **

James has a money box that contains , , , and . 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?

- A0
- B
- C
- D
- E

**Q19: **

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

**Q20: **

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

**Q21: **

The given table shows the prizes at a lottery event. What is the probability of the first customer winning a microwave or a refrigerator?

Prize | Vacuum Cleaner | Microwave | Refrigerator | Car |
---|---|---|---|---|

Number | 12 | 12 | 7 | 4 |

- A
- B
- C
- D
- E

**Q22: **

A bag contains 86 raffle tickets numbered 1 through 86. What is the probability that a randomly chosen ticket carries a number greater than 75 or less than 20?

- A
- B
- C
- D
- E

**Q23: **

A set of 13 cards is numbered from 1 to 13. If a card is drawn at random without looking, determine the probability of getting a card with the number 4 or 13.

- A
- B
- C1
- D
- E

**Q24: **

5 Russian, 6 Italian, and 29 French tourists went on a package vacation. If one of them is randomly selected to win a prize, what is the probability that a French or Italian tourist wins?

**Q25: **

A bag contains 17 balls. Given that 4 of the balls are white, 5 are red, and the rest are green, what is the probability of randomly drawing a red or green ball from the bag?

- A
- B
- C
- D
- E