Making Predictions from Probability

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)

Which spinner gives a better chance of success for the event: "Spinning any letter except C"?

• Spinner 1

• Spinner 2

• Neither one can have a success

• Both - they are equally likely

There are 7 red cards, 6 blue cards, 8 purple cards, and 4 green cards in a hat. In a trial, a card is drawn from the hat and then replaced 1,250 times. How many times is a blue card drawn?

• 6 times

• 25 times

• 50 times

• 300 times

• A bag containing 1 white, 4 red, 3 blue, 2 green, and 4 black marbles

• A bag containing 2 white, 6 red, 8 blue, 5 green, and 5 black marbles

• A bag containing 3 white, 2 red, 5 blue, 3 green, and 2 black marbles

• A bag containing 3 white, 3 red, 3 blue, 3 green, and 3 black marbles

In a random survey of 50 students at Great Middle School, 32 said chocolate was their favorite flavor of yogurt. The school has 450 students. How many of them are likely to select chocolate as their favorite flavor? 

• 144
• 162
• 225
• 288