Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Probability of Complementary Events

Sample Question Videos

Worksheet • 25 Questions • 3 Videos

Q1:

A bag contains 7 red balls, 6 yellow ones, and 4 black ones. If a ball is randomly selected, find the probability of it being NEITHER red NOR yellow.

  • A 4 1 7
  • B 1 3 1 7
  • C 7 1 7
  • D 1 1 1 7
  • E 6 1 7

Q2:

The probability of a getting a head when flipping a biased coin is 0.56. What is the probability of getting tails when flipping the coin?

Q3:

The probability of a getting a head when flipping a biased coin is 0.83. What is the probability of getting tails when flipping the coin?

Q4:

A class in a school contains 38 students. At the end of the school year 28 of the students passed mathematics, 32 passed science, and 26 passed both science and mathematics. If a student is chosen at random from the class, what is the probability that they failed science?

  • A 3 1 9
  • B 1 4 1 9
  • C 1 6 1 9
  • D 5 1 9
  • E 6 1 9

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 5 7 . 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 2 3 . How many balls in the box are not red?

Q8:

Suppose 𝐴 and 𝐡 are two events. Given that the probability of 𝐴 or 𝐡 occurring is 0.67, find the probability that neither 𝐴 nor 𝐡 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 1 6 2 1
  • B 1 7
  • C 4 7
  • D 5 2 1
  • E 6 7

Q10:

The probability that a student passes their mathematics exam is 0.73. What is the probability that they fail?

Q11:

Suppose 𝐴 is an event with probability 𝑃 ( 𝐴 ) = 3 5 . Determine 𝑃 ( 𝐴 ) β€² .

  • A 2 5
  • B 3 1 0
  • C 3 5
  • D 1 5

Q12:

The probability that an event occurs is 1 6 . What is the probability that the event does not occur?

  • A 5 6
  • B 6 5
  • C 5
  • D 1 6
  • E 6

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 3 1 6
  • B 3 2 9
  • C 3 1 8 7
  • D 3 1 4 8

Q14:

A class has 45 students. The probability of choosing at random a student whose age is 10 or less is 2 3 . 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 5 8
  • B 3 4
  • C 5 9
  • D 1 2

Q16:

A factory produces 9 000 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 1 1 3 0 , what is the probability of the event not happening?

  • A 1 9 3 0
  • B 3 5
  • C 2 3
  • D 1 7 3 0

Q18:

If the probability of an event happening is 3 0 4 3 , what is the probability of the event not happening?

  • A 1 3 4 3
  • B 1 2 4 3
  • C 1 4 4 3
  • D 1 1 4 3

Q19:

Suppose 𝐴 and 𝐡 are two events. Given that 𝑃 ( 𝐴 ) = 1 1 0 , 𝐴 βŠ‚ 𝐡 , and the probability of only 𝐡 occurring is 0.35, find the probability that 𝐡 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 4 9 % , what is the probability of hitting any other target?

Q23:

If the probability that a student passes an exam is 3 9 % , what is the probability that the student fails?

Q24:

If the probability that a student passes an exam is 3 0 % , what is the probability that the student fails?

Q25:

If the chance of Karim bowling a spare is 8 out of 10, determine the probability of him missing the spare.

  • A
  • B0
  • C1
  • D
Preview