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Worksheet: Probability of Complementary Events
Q5:
If the probability that a football team wins the national league in a country is 0.254, what is the probability that the team does not win?
Q6:
A box contains 56 balls. The probability of selecting at random a red ball is . How many balls in the box are not red?
Q7:
A box contains 42 balls. The probability of selecting at random a red ball is . How many balls in the box are not red?
Q8:
Suppose and are two events. Given that the probability or occurring is 0.67, find the probability that neither nor occurs.
Q9:
A bag contains 4 red, 3 green, 5 blue, and 9 yellow marbles. If a marble is randomly chosen from the bag, what is the probability of choosing a marble which is not blue?
- A
- B
- C
- D
- E
Q10:
The probability that a student passes their mathematics exam is 0.73. What is the probability that they fail?
Q11:
Suppose is an event with probability . Determine .
- A
- B
- C
- D
Q12:
The probability that an event occurs is . What is the probability that the event does not occur?
- A 6
- B 5
- C
- D
- E
Q13:
A survey of 48 students reveals that 28 of the students prefer playing football and 11 prefer basketball. The rest of the students prefer tennis. If a student is chosen at random, what is the probability they prefer tennis?
- A
- B
- C
- D
Q14:
A class has 45 students. The probability of choosing at random a student whose age is 10 or less is . How many students in the class are older than 11?
Q15:
What is the probability of the pointer landing on a section which is not green on the pictured fair spinner?
- A
- B
- C
- D
Q16:
A factory produces 9β000 shirts each day. At the end of a day, 500 shirts were inspected and 18 were found to be defective. What is the expected number of shirts produced that day that will not be defective?
Q17:
If the probability of an event happening is , what is the probability of the event not happening?
- A
- B
- C
- D
Q18:
If the probability of an event happening is , what is the probability of the event not happening?
- A
- B
- C
- D
Q19:
Suppose and are two events. Given that , , and the probability of only occurring is 0.35, find the probability that does not occur.
Q20:
The table represents the data collected from 200 conference attendees of different nationalities:
| Speak Arabic | Speak English | Speak French | Total Sum | |
|---|---|---|---|---|
| Man | 45 | 35 | 45 | 125 |
| Woman | 40 | 30 | 5 | 75 |
| Sum | 85 | 65 | 50 | 200 |
Find the probability that a randomly selected participant does NOT speak English.
Q21:
The table represents the data collected from 200 conference attendees of different nationalities:
| Speak Arabic | Speak English | Speak French | Total Sum | |
|---|---|---|---|---|
| Man | 10 | 40 | 40 | 90 |
| Woman | 35 | 30 | 45 | 110 |
| Sum | 45 | 70 | 85 | 200 |
Find the probability that a randomly selected participant does NOT speak English.
Q22:
If the chance of hitting a specific target on a dart board is , what is the probability of hitting any other target?
Q23:
If the probability that a student passes an exam is , what is the probability that the student fails?
Q24:
If the probability that a student passes an exam is , what is the probability that the student fails?
Q25:
If the chance of David bowling a spare is 8 out of 10, determine the probability of him missing the spare.
- A
- B0
- C1
- D