Theoretical
Experimental
Predictions
Ratios and Percents
How Likely is it?
100

What is the theoretical probability of a random day of the week ending in the letter y? 

7/7, 1.0, 100% 

100

Abby flipped a coin 10 times and landed on heads 4 times. What is the experimental probability of landing on heads? Is she lucky or unlucky? 

2/5, or 0.4, or 40%?

Unlucky, because she should have gotten it 50% of the time.

100

If you flip a coin 22,000 times, about how many times should it land on heads?

11,000

100

If I pay 4 dollars for 7 pounds of apples, and my mother pays 12 dollars for 20 pounds of apples, did we get the same price per pound (unit rate)?


No! 

If she paid the same amount as me, she would pay 21 dollars for 12 pounds!

100

How likely is it that a coin is flipped and lands on tails?

Equally likely

200

The classic wood carousel at Carousel Park in Hampton, VA has 32 horses and 8 of them are standing horses. What is the probability of randomly selecting a standing horse?

1/4, or 0.25, or 25%

200

Max rolled a die twenty times. He landed on 2 five times, 3 seven times,  6 two times, and 5 six times. What is the experimental probability of landing on 6?

1/10, 0.1, or 10%

200

You have a spinner with four equal sections that are blue, red, green, and yellow. If you spin it 88 times, about how many times should you land on yellow?

352 times

200

What is 27% of 150? 

40.5

200
How would you describe, in words, the probability that when you roll two dice, you will get a sum of 7? 

Unlikely 

There are 6 ways to get a 7 out of 36 possible outcomes of rolling 2 dice.

 6/36=1/6=16.7% It's the most likely number to roll on 2 dice, but it's still a low probability. 

300
If I roll two dice (6 sides each), what is the probability that I will get snake eyes (1 and 1)? 

1/36, 0.028, 2.8% (rounded from 0.027777 repeating)

300

The Cinemania theater showed 108 different movies last year. Of those, 15 movies were action movies.

Based on this data, what is a reasonable estimate of the experimental probability that the next movie is an action movie?



15/108, 0.139, 13.9%

300

Daniel has 30 marbles in a bag. The theoretical probability of choosing a green or blue marble is 1/6. How many marbles are blue or green?

5

300

21 is 42% of what number?

50
300
How would you describe, in words, the probability that we will have a fire drill tomorrow? 

Impossible/never going to happen (no school tomorrow!)

400

In a standard deck of cards (no jokers), what is the probability that you will draw a red Ace? 

2/52, 0.038, 3.8%

400

Pedro recorded the types of birds that visit his bird feeder. Based on the results below, what is the probability the next bird will be a chickadee? Woodpecker = 3 

Chickadee = 5 

Cardinal = 1 

Sparrow = 13 

Blue Jay = 3

1/5, or 0.20, or 20%

400

At MELS, 44% of students identify as girls. How many students would you predict to identify as girls in the 6th grade, which has 126 students in it? 

About 55 students (55.44)

400

30% of the songs that Ms. Nosek <3s on her Spotify are country songs. If Ms.Nosek <3s 120 songs, how many are country?

36

400

How would you describe, in words, the probability that a number cube is tossed and lands on any number 1-6?

Certain

500

Rupa spins a spinner with 5 equal sections numbered 1-5. Then she spins it again. What is the probability that she will land on 3 both times? 

1/25, or 4%

500

Thomas rolls a six-sided die 10 times. He lands on 6 three times.

Chetvir rolls another six-sided die 10 times, but he only lands on 6 one time.

Chetvir thinks Thomas' die is weighted. Do you agree? Are the dice unfair?

No, because as the number of trials increase, the experimental probability will get closer to the theoretical probability. Rolling only 10 times is not enough times to tell if Thomas is just extra lucky right now or if the die is weighted! 

500

Karima has a 12.5% chance of winning the raffle at the next school event. If there are 64 tickets in the bucket, how many of the tickets have Karima's name on it?

8 tickets

500

2 cities are 2.5 inches apart on a map when the scale is 1 inch = 20 miles. How far apart would they be, in inches, on a map with a scale of 1 inch = 32 miles? 

About 1.56 inches
500

How would you describe, in words, the probability of randomly drawing an ace from a standard deck of cards? 

unlikely