Sample Spaces and Subsets (Grade 10)

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Sample Spaces and Subsets

1. 
In a bag of candies there are 44 red, yellow, and green candies. 18 of the candies are red or green, 31 of them are green or yellow. How many green candies are there?
  1. 21
  2. 5
  3. 39
  4. 26
2. 
In a bag of candies there are 44 red, yellow, and green candies. 31 of the candies are not red, 5 of them are green. How many yellow candies are there?
  1. 21
  2. 5
  3. 39
  4. 26
3. 
You are at the movies and observe the people around you. Of the closest 20 people there are 7 males and 3 of those males have blonde hair. What is the maximum number of people who could have hair other than blonde?
  1. 13
  2. 4
  3. 17
  4. 3
4. 
You are at the movies and observe the people around you. Of the closest 20 people there are 7 males and only 3 of those males have blonde hair. What is the maximum number of people who could have blonde hair?
  1. 16
  2. 17
  3. 4
  4. 13
5. 
Tim is visiting an animal rescue center. He knows that there are 27 animals there. Walking through the first part of the center, he sees 15 of the animals, 10 of which are mammals. What is the largest number of mammals there could be in the entire animal rescue center?
  1. 10
  2. 15
  3. 22
  4. 27
6. 
A small survey is done to see which sports students are participating in. The results find that Sam, Sarah, John, Jillian, and Tom are part of the cross country team, while Sarah, Jillian, Tom, Phil, Susan, and Ben are part of the swim team. If each student name is unique (there are no students who have the same name), how many students were surveyed?
  1. 5
  2. 11
  3. 8
  4. 6
7. 
Adrian is preparing a meal, which consists of a main course and a dessert. For the main course, he needs lemons, chicken, eggs, flour, salt, garlic, oregano, and cheese. For the dessert, he needs salt, butter, flour, sugar, lemons, and eggs. How many different types ingredients does he use for the entire meal?
  1. 10
  2. 14
  3. 4
  4. 18
8. 
Micah is choosing a card from a regular deck of 52 cards. If he wants to choose either a jack or a heart, how many possible outcomes are there where he chooses the card he wants?
  1. 17
  2. 16
  3. 13
  4. 4
9. 
Shannon is rolling a die and wants to roll either an even number or a number less than 4. How many different possible rolls are there which would give her the desired outcome?
  1. 6
  2. 5
  3. 3
  4. 1
10. 
Joanne is playing a game which requires her to roll two 6-sided dice. She needs the sum of the dice to equal 7. How many possible rolls are there that would give her this total?
  1. 1
  2. 2
  3. 4
  4. 6

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