Making Predictions Based on Probability

Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: If Neil tossed the die 135 times, predict the experimental probability of rolling the number 3? (hint:set up a proportion)

• 21

• 45

• 28

• 14

Jillian rolled a number cube 360 times. About how many times do you expect her to roll a 2?

• 20 

• 180

• 60 

• 120

150 people were polled on their favorite sport. Based on the table, if you asked only 25 people what their favorite sport is, how many would say soccer is their favorite sport?

• 5 people

• 6 people

• 8 people

• 10 people

Fill in the blank.

Natalie is playing a game using a fair coin. Contestants win the game if the fair coin lands tails up.

If 250 contestant play the game, about __________ of them are expected to win.

Lanie is buying a new kite. There are 5 red, 6 blue, 9 green, and 4 orange kites in the bin at the store. If each choice is equally likely, what is the theoretical probability that Lanie buys a blue kite?

• 1/4

• 1/3

• 3/4

• 4/1

Tyrone rolls a fair six-sided number cube, rolls it again, and then flips a fair coin. Which outcome is part of the sample space?

• heads, tails, heads

• roll 5, heads, tails

• 1, 2, 4

• 6, 3, heads

A shop owner finds that 20% of his customers pay with cash and the rest pay with a credit card. Which method could be used to simulate the different types of payment? Select all of the simulation methods that could be used to model this event.

• a fair coin

• A fair 6-sided number cube

• a spinner with 5 equal sections

• a spinner with 10 equal sections

• a set of 75 chips in which 15 chips are black and the remainder are red

A disc jockey plays a variety of music at public events. Each hour she plays 2 classic rock songs, 6 bluegrass songs, 5 popular songs, and 2 rap songs. What is the probability that the first song played will be a bluegrass song written as a percent?

Daria chooses a paint color from 5 shades of blue, 2 shades of yellow, and 2 shades of purple to paint her room. She can choose either carpet or wood flooring. What is the probability of her choosing a shade of blue and carpet? (written as a simplified fraction)