Either/Or Probability: Overlapping and Non-Overlapping Events


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question 1 of 3

You and your friend are among 15 students who will give speeches in front of the class. The teacher will randomly choose one of the 15 students to give the first speech. Each student has an equal probability of being chosen. Find the probability that either you or your friend will be chosen to give the first speech.

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1. A normal deck of cards has 52 cards in it with four different suits (hearts, spades, clubs, diamonds). What is the probability of drawing an ace of spades or a 3 (from any suit) from a normal deck of cards?

2. Fifty tickets are sold for a raffle. You buy 2 tickets and your sister buys 4 tickets. One ticket is randomly chosen as the winning ticket. What is the probability that you or your sister wins the raffle?

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About This Quiz & Worksheet

In this quiz, you'll be asked to find the probability of different events. Try the questions before reviewing the lesson to assess what you already know, and answer them again after the lesson to see what you've learned.

Quiz & Worksheet Goals

Practice determining the probability of:

  • Rolling either an odd or a prime number on a die
  • Drawing either an Ace or a 3 from a deck of cards
  • Choosing either one student or another from a class population
  • Winning a lottery with either one ticket or another chosen at random
  • Picking either a number less than 10 or a prime number from a group of numbers 1 through 20

Skills Practiced

  • Making connections - use understanding of the concept of either/or probability
  • Problem solving - use acquired knowledge to solve probability practice problems
  • Knowledge application - use your knowledge to answer questions about probability in real-world examples

Additional Learning

The lesson titled Either/Or Probability: Overlapping and Non-Overlapping Events will help you learn more about this topic. This lesson includes these objectives to help you expand what you know:

  • Define probability
  • Define favorable and total events
  • Differentiate between non-overlapping and overlapping events
  • Determine the probability of events in given examples