A mystery spinner is spun several times, produ1cing the results shown in the table.

a )Calculate the experimental probability of the spinner landing on each colour.

b) Sketch what this spinner could look like. Explain your reasoning.

c) Could the spinner look differently? Explain.

A quarterback successfully completed 21 of 35 pass attempts.

a) What is the experimental probability that the quarterback will complete a pass?

b) Suppose the quarterback throws 280 pass attempts over the course of a season. How many is he likely to complete, based on your answer to part a)?

Match each scenario with its most likely subjective probability. Justify your answers.

What is the theoretical probability of rolling each of the following sums with a pair of dice?

a) 2

b) 9

c) not 7

d) not a perfect square

A card is randomly drawn from a standard deck of cards. What is the theoretical probability that it will be

a) a club?

b) an ace?

c) a face card?

A sports analyst predicts that a tennis player has a 25% chance of winning a tournament. What are the odds against winning?

A standard die is rolled 24 times and turns up a 3 six times.

a) What is the experimental probability of rolling a 3 on a given trial?

b) What is the theoretical probability of rolling a 3?.

c) Explain why these answers are different.

Suppose two fair coins are flipped.

a) Draw a tree diagram to illustrate all possible outcomes.

b) Sketch a bar graph that shows the predicted relative frequency of each of the following events were a very large number of trials is carved out of

• no heads
• one head
• two heads

c) Explain why your graph has the shape that it does.

A graphing calculator is programmed to randomly generate an integer value between 1 and 8. Determine the probability that the number will be

a) a five or an eight

b) a prime number or a perfect square

c) an even number or a seven

d) not a composite number or an odd number

A small vehicle rental company randomly assigns its vehicles to customers based on whatever happens to be available. The fleet is shown below.

Assume that each vehicle has an equal probability of being available at any given time. Determine the probability that a customer will randomly be assigned:

a) a coupe or a mini-van

b) a blue vehicle or a mini-van

c) a grey vehicle or a sedan

d) not a red vehicle or a coupe

A standard die is rolled and a card is drawn from a standard deck of playing cards.

a) Which of the following is more likely to occur?

• an even value will be rolled and a heart will be drawn
• a composite value will be rolled and a face card will be drawn

b) Justify your answer with mathematical reasoning.

A bag has 3 red tiles. 1 yellow tile. and 2 green tiles.

a) What is the probability that a red tile is drawn, followed by a second red tile, if the first tile is replaced?

b) How does this value change if the first tile drawn is not replaced?

c) Explain why these answers are different.

Josiah has a 20% experimental probability of hitting the snooze button any morning when his alarm goes off. When he hits the snooze button. there is a 25% conditional probability that he misses his bus. He has never missed the bus when he has not hit the snooze button. If Josiah's alarm woke him 120 times over the course of the semester. hOW many times did Josiah miss his bus?