Grades 6–7 Skill Standards: CCSS 7.SP.C.5

Basic Probability — Likelihood of an Event (Grades 6–7)

Probability measures how likely something is, as a fraction from 0 (impossible) to 1 (certain). For equally-likely outcomes, the probability of an event is the number of favorable outcomes divided by the total number of outcomes. Flipping a fair coin, P(heads) = 1 favorable / 2 total = 1/2.

What it is

Understanding basic probability

Probability measures how likely something is, as a fraction from 0 (impossible) to 1 (certain). For equally-likely outcomes, the probability of an event is the number of favorable outcomes divided by the total number of outcomes. Flipping a fair coin, P(heads) = 1 favorable / 2 total = 1/2.

Key Idea

Probability measures how likely something is, as a fraction from 0 (impossible) to 1 (certain). For equally-likely outcomes, the probability of an event is the number of favorable outcomes divided by the total number of outcomes. Flipping a fair coin, P(heads) = 1 favorable / 2 total = 1/2.

Worked Example

Seeing it in action

1
Worked example

A bag has 2 red and 4 blue marbles. P(red)?

Favorable (red) = 2; total = 2 + 4 = 6.

P(red) = 2/6 = 1/3.

Visual model
2 red out of 6 total

Probability = favorable outcomes / total outcomes.

Interactive Check

Try a few

A fair die: P(rolling a 3)?
Answer: 1/6
5 red, 5 green: P(green)?
Answer: 1/2
Spinner with 4 equal parts, 1 gold: P(gold)?
Answer: 1/4
Free game

Spinner

A calm probability game for reading spinner sectors, fractions, complements, and comparisons.

Play: Spinner

Ready for the interactive lab?

Practice basic probability in Numeris with instant feedback.

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Put the reasoning on paper.

Try six fraction, angle, perimeter and area questions with explained answers, for grades 4–6.

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