Practice Sample Space in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The sample space S is the set of all possible outcomes of a random experiment — every outcome that could conceivably occur.
Before you can calculate any probability, you need the complete menu of possibilities. The sample space is that menu—like listing every face of a die or every possible hand in a card game. Missing even one outcome throws off every probability you calculate, because all probabilities must add up to exactly 1 over the full sample space.
Example 1
easyList the sample space for rolling a fair six-sided die, and verify that all probabilities sum to 1.
Example 2
mediumTwo coins are flipped. Write out the sample space, assign probabilities to each outcome, and find P(\text{exactly one head}).
Example 3
easyA bag contains one red, one blue, and one green marble. You draw one marble. Write the sample space and assign probabilities so they sum to 1.
Example 4
mediumA spinner has 3 sections: Red (probability 0.5), Blue (probability 0.3), and Green. Find P(\text{Green}) and verify the sample space probabilities sum to 1.