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In this lesson, we will learn how to interpret a data set by finding and evaluating the experimental probability.

Q1:

Two coins are tossed 76 times. The upper faces are observed, and the results are recorded in this table. Determine the experimental probability of getting two tails as a fraction in its simplest form.

Q2:

The table shows the results of a survey that asked 20 students about their favourite breakfast.

What is the probability that a randomly selected student prefers Eggs?

Q3:

A biased coin was tossed 350 times and the number of tails observed was 178. Calculate the relative frequency of getting heads.

Q4:

A six-sided die contains the numbers 1 to 6. It was rolled 26 times and the number of times each value appeared is shown in the table. Find the experimental probability of rolling a 4.

Q5:

A soft drinks factory produces 1400 bottles a day. The factory tested a sample of 400 units and found that 6 were defective. By calculating the experimental probability that a bottle is defective, work out how many defective bottles would be expected in a day.

Q6:

A boy flipped a coin 100 times, and he got heads 58 times. Calculate his experimental probability of getting heads while playing this game.

Q7:

The given fair spinner was spun 248 times. What is the expected number of times the pointer will land on the section labelled by the letter πΉ ?

Q8:

A fair spinner has 8 equal sections, one of which is green. If the spinner is spun 56 times, what is the expected number of times it will stop on the green section?

Q9:

A fair die is rolled 136 times. Calculate the expected number of times a number greater than 3 is rolled.

Q10:

A fair die is rolled 150 times. What is the expected number of times for an odd number greater than 2 to be rolled?

Q11:

A fair die is rolled 150 times. What is the expected number of times for a number divisible by 3 to be rolled?

Q12:

A bag contains 9 blue, 5 red, 3 white, and 8 green marbles. If a marble is drawn at random and replaced 75 times, determine the expected number of times a green marble could be drawn.

Q13:

A game at a festival challenged people to throw a baseball through a tire. Of the first 68 participants, 3 people won the gold prize, 12 won the silver prize, and 15 won the bronze prize. What is the experimental probability of not winning any of the three prizes?

Q14:

On an irregular die, the probability of rolling the number 1, 2, 3, 4, or 5 is equal. The probability of rolling a 6 is three times that of any other number. What is the probability of rolling an odd prime number?

Q15:

A die is rolled 750 times. What is the expected number of times for an even number greater than 1 to be rolled?

Q16:

What is the probability of getting heads when a fair coin is flipped?

Q17:

Q18:

What is the probability of getting tails when a fair coin is flipped?

Q19:

If a coin is flipped once, what is the probability of getting a head?

Q20:

Which of the following sets represents the event of rolling two numbers which sum to 10 on two six-sided dice?

Q21:

If a fair number cube, labeled with the numbers 1β6, is rolled 90 times, which result is most likely to occur?

Q22:

Suppose you roll two number cubes, where each cube has the numbers 1, 2, 3, 4, 5, and 6 on its faces. Determine the probability that the sum of the two numbers rolled is less than 12.

Q23:

Two fair dice are rolled. Which of the following represents the event of rolling two numbers which sum to 7?

Q24:

A die is rolled two consecutive times. Which of the following represents the event of rolling two numbers which have a difference of 2?

Q25:

A fair die is rolled twice. What is the probability of rolling two numbers which sum to an even number less than 4?

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