Practice Chance in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Chance describes the inherent randomness in outcomes of experiments — the fact that even with complete knowledge, some events cannot be predicted with certainty.
When multiple outcomes are possible and we can't control which occurs.
Example 1
easyA bag contains 3 red, 2 blue, and 5 green marbles. Find the probability of randomly drawing a red marble and express it as a fraction, decimal, and percentage.
Example 2
mediumWeather forecasts say 70% chance of rain tomorrow. Explain what this probability means in terms of relative frequency, and how it differs from certainty.
Example 3
easyA spinner has 8 equal sections numbered 1–8. Find (a) P(\text{even}) and (b) P(\text{greater than 5}).
Example 4
hardIn a game, you roll a die. If you roll 6, you win \5. Otherwise you lose \1. Calculate the expected value per game and determine if the game is fair.