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.
Showing a random 20 of 50 problems.
Example 1
mediumThe weather app says chance of rain. If you check on similar days, about how many should be rainy?
Example 2
mediumA weather app says 70% chance of rain today and it does not rain. Was the forecast wrong?
Example 3
mediumA fair die is rolled twice. What is the chance of getting a 6 on at least one of the two rolls?
Example 4
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 5
hardA bag has blue and red marbles. You draw without replacement. What is the chance of two blues in a row?
Example 6
easyA coin lands heads. Was the outcome certain before the flip?
Example 7
mediumA box has tickets, labeled 'win'. What is the chance of drawing a win on one draw?
Example 8
mediumA spinner is split: 60% of the area is green, 40% red. What is the chance of green, and why does area matter?
Example 9
easyDoes a 1% chance event mean it will never happen?
Example 10
hardIf and with and independent, find .
Example 11
mediumWhy can the gap between observed heads and expected heads grow even as the proportion approaches 0.5?
Example 12
mediumA fair six-sided die is rolled. What is the chance the result is greater than ?
Example 13
mediumAfter flipping tails in a row with a fair coin, what is the chance the next flip is heads?
Example 14
mediumA spinner has equal slices labeled through . What is the chance of an odd number?
Example 15
challengeA '1 in 13 million' lottery is played by 20 million distinct tickets in one draw. Is it likely at least one ticket wins? Estimate.
Example 16
mediumWhy is 'something will happen' (any outcome at all) an event with probability ?
Example 17
easyFill in the blank: A probability of means the event is ___.
Example 18
easyA fair die is rolled. What is the chance of rolling a 3?
Example 19
easyIf something has a 0% chance, is it possible?
Example 20
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.