Applying Conditional Probability & Independence to Real Life Situations


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question 1 of 3

Sally is selling strawberry and regular lemonade at her stand. Out of all of the customers that bought her lemonade, 50% like regular lemonade and 30% like strawberry and regular lemonade. So if one of Sally's customers likes regular lemonade, what's the probability that they'll also like strawberry lemonade?

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1. Sandra has a bag of candies. There are twelve candies total, and three of the candies are peanut butter. The packaging for each candy is the same, so Sandra doesn't know which candy she will pull from the bag. What is the probability that Sandra will pull a peanut butter candy from the bag?

2. James is going through an old bag of marbles. He bets his friends that he can pull a red marble out of the bag and then a yellow marble in one try. There are 12 red marbles and 7 yellow marbles. What is the probability that he can pull a yellow from the bag, given that he has already pulled a red?

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About This Quiz & Worksheet

This quiz and corresponding worksheet will help you gauge your understanding of what conditional and independent probability are based on real-world situations. Topics you'll need to know to pass the quiz include finding the probability of a situation with or without conditions.

Quiz & Worksheet Goals

Use these assessment tools to assess your knowledge of:

  • The probability of a situation dependent on a condition
  • The probability of a situation not dependent on a condition
  • The term for probability that isn't affected by a previous event
  • The term for the probability of a second event, given a first event has already occurred

Skills Practiced

This worksheet and quiz will let you practice the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on real life applications of conditional probability and independence
  • Interpreting information - verify that you can read information regarding real-world probability scenarios and interpret it correctly
  • Problem solving - practice solving probability problems

Additional Learning

To learn more about probability for both conditional and independent scenarios, review the corresponding lesson on Real Life Applications of Conditional Probability and Independence. This lesson covers the following objectives:

  • Define conditional and independent probability
  • Explore examples of these probability types
  • Know how to find conditional and independent probabilities using formulas
  • Understand how to find a given event