Uniform Probability Models (Grade 7)

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Uniform Probability Models

1. 
A group of students are playing a game of chance. If there are 3 guys in the class and 6 girls, what of the sample spaces below represent the situation accurately if each A represents a guy and each B represents a girl?
  1. (A,B)
  2. (A,B,B)
  3. (A,A,A,B,B,B,B,B,B)
  4. All of the above
2. 
A teacher is looking over a class of students in order to pick someone to solve a question on the whiteboard. There are 27 students in the class and 9 of them are boys. If the teacher picks a student at random, what is the chance of her picking a specific girl named Charlotte if all the students have an equal probability of being picked?
  1. [math]2/3[/math]
  2. [math]1/27[/math]
  3. [math]1/9[/math]
  4. [math]1/3[/math]
3. 
If the spinner below is spun once, what is the chance of it landing on a 3 or 5 if each space has an equal probability of being landed on?
Spinner With Numbers
  1. [math]5/3[/math]
  2. [math]1/3[/math]
  3. [math]3/5[/math]
  4. [math]1/6[/math]
4. 
A board game has 5 red spaces, 10 blue spaces, and 15 green spaces on it. If a dice is rolled onto the board, what is the chance it will land on a green or blue space if each space has an equal probability of being landed on?
  1. [math]5/6[/math]
  2. [math]1/2[/math]
  3. [math]2/3[/math]
  4. [math]1/6[/math]
5. 
If a dice is rolled once, what is the probability of rolling a number higher than 3 if all outcomes have an equal probability?
  1. [math]1/2[/math]
  2. [math]2/3[/math]
  3. [math]1/3[/math]
  4. [math]1/4[/math]
6. 
A closet full of dresses has 3 red dresses, 4 blue dresses, 2 green dresses, and 1 black dress. What is the probability of picking out a blue or black dress if a dress is picked out of the closet at random and each dress has an equal probability of being picked?
  1. [math]1/5[/math]
  2. [math]1/10[/math]
  3. [math]2/5[/math]
  4. [math]1/2[/math]
7. 
If the spinner below is spun once, what is the chance of it landing on green if each color has an equal probability of being landed on?
Spinner With Colors
  1. [math]1/2[/math]
  2. [math]1/3[/math]
  3. [math]1/4[/math]
  4. [math]3/4[/math]
8. 
If a dice is rolled once, what is the chance of rolling a 5 if each side does not have an equal probability of being picked?
  1. [math]1/6[/math]
  2. [math]1/5[/math]
  3. [math]1/3[/math]
  4. You can't know exactly
9. 
A teacher is looking over a class of students in order to pick someone to solve a question on the whiteboard. There are 27 students in the class and 18 of them are girls. If the teacher picks a student at random, what is the chance of a boy being picked if all the students have an equal probability of being picked?
  1. [math]2/3[/math]
  2. [math]1/2[/math]
  3. [math]1/3[/math]
  4. [math]1/9[/math]
10. 
A video game world is being generated use randomization. The video game tries to generate a castle every 300 yards in the game, and selects a random castle from a list of 30 different castles. If 10 of the castles are tall castles and 1 of the tall castles is an obsidian castle, what is the probability of the game picking a tall castle, and what is the chance of the game picking a tall obsidian castle, in that order?
  1. [math]1/3[/math] , [math]1/10[/math]
  2. [math]1/10[/math] , [math]1/30[/math]
  3. [math]1/30[/math] , [math]1/3[/math]
  4. [math]1/3[/math] , [math]1/30[/math]

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