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In this lesson, we will learn how to find the probability of complementary events.

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.

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?

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 π΄ and π΅ are two events. Given that the probability of π΄ or π΅ occurring is 0.67, find the probability that neither π΄ nor π΅ 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?

Q10:

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

Q11:

Suppose π΄ is an event with probability π ( π΄ ) = 3 5 . Determine π ( π΄ ) β² .

Q12:

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

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?

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?

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 1 1 3 0 , what is the probability of the event not happening?

Q18:

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

Q19:

Suppose π΄ and π΅ are two events. Given that π ( π΄ ) = 1 1 0 , π΄ β π΅ , and the probability of only π΅ occurring is 0.35, find the probability that π΅ does not occur.

Q20:

The table represents the data collected from 200 conference attendees of different nationalities:

Find the probability that a randomly selected participant does NOT speak English.

Q21:

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.

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