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In this lesson, we will learn how to use theoretical probability to calculate probabilities involving fair dice, spinners, and colored balls in a bag.

Q1:

Each section on this spinner is equally likely to be chosen. What is the probability of the arrow landing on the number 4? Give your answer as a fraction in the simplest form.

Q2:

What is the probability of the pictured spinner stopping on a section which is red?

Q3:

What is the probability of a student riding a bike to school?

Q4:

What is the probability of a family visiting the beach in a given year?

Q5:

What is the probability of day coming after night?

Q6:

What is the probability of the arrow landing on a section numbered by a perfect square when the given fair spinner is spun?

Q7:

What is the probability of a certain event?

Q8:

Which of the following may be the probability of an event occurring?

Q9:

Q10:

Which of the following choices may represent the probability of an event occurring?

Q11:

What is the probability that the pointer lands on a red section when the given fair spinner is spun?

Q12:

What is the probability of rolling an even number on a fair die?

Q13:

What is the probability of the pointer landing on a prime number when the given spinner is spun?

Q14:

What is the probability that the pointer stops on a green section when the given fair spinner is spun?

Q15:

What is the probability that the pointer lands on a section numbered by a factor of 7 when the given fair spinner is spun?

Q16:

What is the probability that the pointer lands on a number greater than 11 when the given fair spinner is spun?

Q17:

What is the sum of the probabilities of all of the outcomes in a random experiment?

Q18:

What is the probability of rolling a number divisible by 7 on a regular dice?

Q19:

Let π denote the sample space of a random experiment. Find π ( π ) .

Q20:

What is the probability that the arrow stops on a red section when the pictured fair spinner is spun?

Q21:

Given that β represents the empty set, what is the value of π ( β ) ?

Q22:

A spinner has 9 equal sections labelled from 1 to 9. Determine the probability of the pointer landing on 3.

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