Vocabulary
Fair or Not
Cards
Spinners
Blocks
100
What's a mathematical word for chance.
Probability
100
Chris isn't sure if he should eat an apple or some pretzels for an after-school snack. He decides to roll a standard 6-sided dice. If it lands on 1, 3, or 5 he'll eat an apple. If it lands on 2, 4, or 6 he'll eat pretzels. Does each snack have an equal chance of being chosen when he rolls the dice?
Yes, both snacks have an equal chance.
100
Tammy has a standard deck of cards. She has her friend Malik draw one card. What is the probability that he'll get a queen of hearts?
There's a 1/52 or 2% probability of Malik drawing a queen of hearts.
100
Ellie is trying to decide what sport to do: rock climbing or swimming. She decides to make a spinner with two equal sections. One is green which represents rock climbing and the other is blue which represents swimming. What's the probability that she'll end up doing rock climbing?
There's a 1/2 or 50% chance of Ellie spinning and landing on the green section and doing rock climbing.
100
There are three red blocks and three purple blocks in a bag. What is the probability of getting a yellow block?
0/0 or 0%, there are no yellow blocks.
200
What is the term for a part of a whole expressed in hundredths?
A percentage
200
Jamie is playing Connect Four with his friend Callie. They decide to put five orange slips of paper and five green slips of paper in a hat and draw one out randomly. If they drew a green Callie would go first and if the slip they drew was orange, Jamie would go first. Is that a fair way to decide who goes first?
Yes because Callie and Jamie have the same chance of getting to go first.
200
In order to win a pack of bubblegum, Maria must draw a seven from a deck of cards. If Maria draws one card, what is the probability that she'll win the prize?
She has a 4/52 or 8% chance of winning the bubble gum.
200
Martin has 8 spinners. They each have 3 sections. Each spinner has a red, orange and yellow section. If he chooses a random spinner and has his mom spin it, what is the probability that it will land on red, her favorite color?
The probability of Martin's mom landing on the red section is a 1/3 or 33% chance.
200
Sarah is about to play crazy eights with her friend Martin. She doesn't know who should go first so she mixes 23 red blocks, 5 green blocks, 10 yellow blocks and 8 blue blocks together in a bag. In order to go first you must get a red block. If Martin randomly picks a block out of a hat, what is the probability he'll draw a red one?
He has 23/46 (1/2) or 50% probability of drawing a red block.
300
What word's definition is: results from an action or event?
The word is outcome.
300
Pete can only invite six people to his birthday party at Splashy Water Park. He has already decided on 5 people who he'll definitely invite. However he's not sure if he should invite Michael, Jack or Violet as the last person to come. To figure it out, he rolls a die. The dice has 24 sides. If he gets 1-5, he'll invite Jack. If he gets 6-19 he'll invite Michael and if he gets 20-24 he'll invite Violet. Is that a fair way to decide who should come?
No because each person has a different chance of getting chosen. The number ranges aren't the same for each person.
300
Maya has three friends and she each gives them three cards. They each look at one (and only one) of their cards. Maya gave each person a 4. What's the probability of either of her three friends flipping over a car that's not a 4?
Each friend has a 2/3 or 67% chance of looking at a card that isn't a 4.
300
Noelle makes a spinner with 27 sections. 7 of them are colors of the rainbow. 8 of them are various shades of gray, black and white. The remaining 12 are variations of the colors of the rainbow. If there are 3 versions of blue, green, yellow and purple what's the probability of her friend Kenny spinning the spinner and landing on blue?
There's a 4/27 or 15% probability of him spinning and landing on a blue section.
300
Taylor is at a party with three of her friends. The hosts hold a contest in order to win a prize of $15.00. Tay decides to enter. In order to win the prize you must pull a gold block. If there are 9 red blocks, 6 black blocks, 4 purple blocks, 36 blue blocks and 3 gold blocks. What's the probability of Taylor winning the $15.00 prize?
Taylor has a 3/58 or 5% probability of drawing a gold block.
400
What is a diagram that shows all the possible outcomes?
A tree diagram.
400
Kai is running a game called Spin To Win at his school's carnival. Each player has to pay $3.00 in order to participate. The way to play the game is to spin the spinning board. If you land on a purple or green section you win $15.00. There are 4 purple sections and two green ones. Al the other sections leave you with no prize. In total there are 36 sections. Does everyone have a chance of getting their money's worth and winning?
No, this game is unfair because the Kai will end up making much more money than the people who play.
400
Tommy is playing Crazy Eights. The stockpile has 10 cards left. He doesn't have a match for the top card which is an Ace of spades, so he has to keep pulling a card until he gets one that has spades or is an ace. Two of the cards are Aces. One is a 4 of spades, three are 2's of clubs, one is a 7 of hearts and the last is a queen of diamonds. What's the probability that he'll pull a card that'll match the suite or the number/face of the card he has?
He has a 3/10 or 30% chance of pulling a card that is either a spade or an ace.
400
Kayla is playing the game of Life. It's her turn to spin the spinner which has 10 equal sections. They are as follows: red, orange, light orange, yellow, light green, green, blue, indigo, purple and magenta. She spins it once. What's the probability of her getting a color that's not orange, green or magenta?
There's a 7/10 or 70% chance of her the spinner landing on a color that's not orange, magenta or green.
400
There are 71 blocks in a hat. Alessia takes ten of them which include 3 yellow, 5 silver and 2 green. There are four colors of blocks to choose from in total. The one color that Alessia did not draw was blue, which there are 37 of. There is 3 times the amount of yellow and silver blocks (that Alessia drew) in the bag and 5 times the amount of green. What is the probability of her friend Jason pulling a silver block?
There's a 15/71 or 21% probability of Jason drawing a silver block.
500
What is a diagram where fraction pieces represent the probability.
An area model.
500
Layla can't decide if she should buy a pink, green, yellow, polka-dotted, striped or purple scarf. In order to decide which one she should buy, she takes a picture of each one, duplicates three of the pictures, adds a picture of a totally different scarf and sends them all to her best friend. The pictures that she duplicated/added all represent either the yellow or pink scarf. Whichever scarf her friend chooses for her, Layla will buy. Is this a fair way to decide which scarf to get?
No, because the yellow and pink scarfs have a higher chance of being chosen since there are multiple photos that represent them.
500
Mitchell has a deck of 52 cards. He adds in the 2 jokers. Then he gets out two more decks of cards. From each of those two decks he takes a queen of hearts, a queen of spades, and a 3 of diamonds. He adds those cards into the original deck. With all the cards he added, what's the probability of his friend Alec drawing a queen from the new deck Mitchell made?
He has an 8/60 or 13% chance of drawing a queen.
500
There are two spinners. Jen has her friend Charlie spin both spinners. The first has 3 sections that consist of two red and one black. The second has 5 sections that consist of 2 blue, 1 yellow, and 2 pink. Charlie spins each once. What's the probability of him landing on a red and a blue section?
There's a 8/15 or 53% chance of Charlie landing on a blue and a red section.
500
Nathan decided to make a game called Purple Wins. The goal of the game is to get a purple block three times in a row by pulling out of a bag. If you pull a purple three turns in a row you win. There are 32 blue, 9 red, 25 yellow, 5 purple and 14 pink blocks. Then he adds 3 purple blocks before testing the game. If he draws from the bag once, what is the probability of him pulling out a purple block?
The probability of Nathan drawing a purple block is 11/88 (1/8) or 12.5%.
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