Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Choose how detailed each outcome needs to be for the question at hand. Compare choices like recording each coin flip as H/T versus recording only the total number of heads.

Use what you learned in the previous lesson to solve real-world problems.

Tell the difference between one exact result and an event that may contain many results. For a listed sample space, mark which outcomes make statements like “roll an even number” or “get a red card” true.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Translate plain-language chance claims into event notation such as P(rain tomorrow) = 0.30. Practice naming the event clearly so the probability statement says exactly what is being measured.

Use what you learned in the previous lesson to solve real-world problems.

Place probabilities on the scale from 0 to 1, where 0 means impossible and 1 means certain. Compare values like 0.1, 0.5, and 0.9 as unlikely, even chance, and very likely.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Move between fractions, decimals, and percents without changing the chance being described. Recognize that 1/4, 0.25, and 25% are the same probability, while 25 is not a valid probability on the 0-to-1 scale.

Use what you learned in the previous lesson to solve real-world problems.

When a finite sample space has outcomes that are all equally likely, find an event’s probability by dividing matching outcomes by total outcomes. Use already-listed outcomes so the focus stays on probability, not advanced counting.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Turn repeated observations into an estimated probability using relative frequency, such as wins divided by games played. Reason about why an estimate from data can change when more trials are added.

Use what you learned in the previous lesson to solve real-world problems.

Reject probability claims that fall outside the valid scale, such as negative chances or 140%. Distinguish a low probability from impossibility and a high probability from certainty.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Review this chapter with practice based on your mistakes.