Show:
Counting Principle
How Likely is It?
Theoretical Probability
Experimental Probability
Making Predictions
100
Sue designs jewelry and is working on creating new rings. She can use gold or platinum for the setting. The finished ring will hold a ruby, sapphire, emerald or topaz gemstone. Determine the number of ring designs Sue can make.
What is 8? 2 settings x 4 stones = 8
100
Sue has a bag of marbles. There are 20 red, 5 green 7 blue and 3 yellow marbles in the bag. Is it likely, unlikely, impossible or certain that she will pick a red marble?
What is likely? More than half the marbles are red
100
Pete rolls a number cube. Determine P(rolling 4).
What is 1/6?
100
Matt flips a coin 20 times. He records 13 heads and 7 tails. Determine the experimental probability that the next flip will land on tails. Write your answer as a fraction in simplest form.
What is 7/20?
100
You flip a coin 10 times. Determine how many times you expect it to land on heads.
What is 5 P(heads)=1/2 1/2 of 10=5
200
Jack is planning a birthday surprise for his mom. He needs to select a restaurant and activity for the day. The local restaurants include Mexican, Chinese, Seafood and Italian. After the meal they will go mini-golfing, bowling or to the movies. Determine the number of outings Jack can plan for his mom's birthday.
What is 16? 4 restaurants x 4 activities
200
Sue has a bag of marbles. There are 20 red, 5 green 7 blue and 3 yellow marbles in the bag. Is it likely, unlikely, impossible or certain that she will pick a blue marble?
What is unlikely? Only 7 out of 35 marbles are blue.
200
John has a bag of marbles. There are 20 red, 5 green, 7 blue and 3 yellow marbles in the bag. Determine the P(pulling blue) out of the bag. Write as a fraction in simplest form.
What is 1/5?
200
Sara watches cars drive by her house. In an hour she sees 10 white cars, 12 blue cars and 8 silver cars. Determine the experimental probability that the next car she sees is blue. Write your answer as a fraction in simplest form.
What is 2/5? 12/30 divided by 6/6
200
Kelly is playing a dice game with her little brother. She rolls the dice 30 times. How many times would you expect it to land on a 4?
What is 5? P(rolling 4)=1/6 1/6 or 30=5
300
Before going to bed each night, Steve lays out his clothes for the next day. He chooses a shirt, pants, socks and shoes. On Wednesday night when he looks in his closet he sees 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants and 5 shirts. Determine the number of different outfits Steve could lay out.
What is 900? 12 socks x 3 shoes x 5 pants x 5 shirts
300
The letters of the word PENNSYLVANIA are placed in a bowl. Is it likely, unlikely, certain or impossible that you will draw a consonant?
What is likely? 8 of the 12 letters are consonants
300
There are 12 face cards (Jack, Queen or King) in a standard deck of 52 playing cards. Determine the P(picking a face card) from the deck. Give the answer as a fraction in simplest form.
What is 3/13?
300
Tony plays on his school's basketball team. In the last 2 games he made 15 of the 25 free throws he attempted. Determine the experimental probability that Tony will make a free throw shot in the next game. Write your answer as a percent.
What is 60% 15/25=3/5
300
Frank plays baseball. Last season he was up to bat 150 times and got 100 hits. In his first game of the new season Frank was up to bat 6 times. Determine how many hits you would expect Frank to have had in the game.
What is 4? 100/150=2/3 2/3 of 6=4
400
Billy is packing his lunch. He decides he wants to have a sandwich, snack, dessert and drink. He can pack a ham or turkey sandwich. Billy will take an apple, banana or carrots for his snack. His mom baked fresh cookies and brownies the night before. There are fruit punch or lemonade Capri Sun pouches in the refrigerator. Determine the number of lunch combinations Billy could pack.
What is 24? 2 sandwiches x 3 snacks x 2 desserts x 2 drinks
400
Jack rolls a number cube. Is it likely, unlikely, impossible or certain that he will roll a number divisible by 3?
What is unlikely Only 3 and 6 (2/6) of the numbers on the cube are divisible by 3
400
There are 13 spades in a standard deck of 52 cards. Determine the P(not picking a spade). Give your answer as a percent.
What is 75% 52-13=39; 39/52=3/4
400
Violet surveys students in the cafeteria about their favorite ice cream flavor and records their responses. 10 chose chocolate, 15 chose vanilla, 3 chose strawberry and 12 chose another flavor. Determine the experimental probability that the next person Violet asks will choose chocolate. Write your answer has a fraction in simplest form and percent.
What is 1/4 or 25% 10+15+3+12=40 10/40=1/4
400
Hank has a jar of skittles on his desk. There are 40 red, 42 yellow, 23 green, 20 purple and 25 orange. Hank grabs a handful of 30 skittles from the jar. Determine the number of red you would expect him to have.
What is 8? 40/150=4/15 4/15=x/30
500
Olivia's family is planning an outdoor expedition for their next vacation. The touring company allows families to build their own travel plan. Olivia and her family will be taking a 4-stage adventure including hunting, fishing, hiking and camping. There are 4 hunting events, 7 fishing events, 6 hiking trails and 3 campsites to choose from. Determine the number of expeditions Olivia's family can design.
What is 504? 4 hunting x 7 fishing x 6 hiking x 3 campsites
500
Steve has a jar of M&Ms. He estimates that there are 1000 pieces of candy in the jar. If 500 are red and 500 are green, how would you describe the likelihood of getting a blue M&M?
What is impossible? There are only red and green M&Ms in the jar!
500
Tom rolls a number cube. Determine the P(rolling a prime number). Give your answer as a percent
What is 50% Prime numbers on a number cube are 2, 3 and 5 3/6=1/2
500
Sam loves fast food. In April he ate out for supper 20 times. On 12 nights he at at Wendy's, 3 nights he ate at Burger King and 5 nights he chose Arby's. Determine the experimental probability that Sam will go to McDonald's tonight for supper.
What is 0%. He never went to McDonald's in April so it appears he doesn't eat there.
500
There is a bowl of fun-size candy bars on the snack table at Mini-Thon. The bowl contains 100 snickers, 125 milky way and 75 3-musketeers bars. You and 3 friends each grab at candy bar. Determine how many you would expect to have a 3-musketeers.
What is 1? 100+125+75=300 75/300=1/4 or 25% You+3 friends=4 people 1/4 of 4=1