How to Calculate the Probability of Combinations


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question 1 of 3

A newspaper company is selecting four houses to receive a free newspaper on your block. There are 10 houses on your block that are numbered 1-10. What is the probability that the four houses selected for a free newspaper will all be even numbered houses?

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1. A class of 6 boys and 12 girls are preparing for finals. The teacher is going to select 3 students to be exempt from the test. What is the probability that the three students that are exempt will be all boys?

2. Jane has cards with the letters ALABAMA on them. She lays the cards face down. What is the probability of Jane selecting two cards and both of them being a vowel?

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About This Quiz & Worksheet

This quiz and worksheet combo will help you quickly assess your understanding of the probability of combinations. You'll have to know and manipulate related formulas to solve practice problems in order to pass the quiz.

Quiz & Worksheet Goals

In particular, practice problems on this quiz focus on:

  • Probability
  • Combinations
  • Factorials

Skills Practiced

Students can sharpen these skills:

  • Knowledge application - use your knowledge to answer questions about probability
  • Information recall - access the knowledge you have gained regarding factorials
  • Problem solving - use your knowledge to solve combination practice problems using the appropriate formula

Additional Learning

The lesson, How to Calculate the Probability of Combinations, can provide you with more detailed information on this subject. It covers these objectives:

  • Define probability
  • Determine why combinations are used
  • View real-life examples of combinations