MA.7.2.1 MA.7.2.2 MA.7.2.3 MA.7.2.4

Probability 7th Grade

Florida - Benchmarks for Excellent Student Thinking: MA.7.2.1
Determine the sample space for a simple experiment.
Florida - Benchmarks for Excellent Student Thinking: MA.7.2.2
Given the probability of a chance event, interpret the likelihood of it occurring. Compare the probabilities of chance events.
Florida - Benchmarks for Excellent Student Thinking: MA.7.2.3
Find the theoretical probability of an event related to a simple experiment
Florida - Benchmarks for Excellent Student Thinking: MA.7.2.4
Use a simulation of a simple experiment to find experimental probabilities and compare them to theoretical probabilities.

Probability is a measure of the likelihood of an event occurring.

Probability of event occurring = \frac{number of ways event can occur}{total number of possible outcomes}

The sample space of an event occurring is the set of possible outcomes.

The complement of an event occurring is the event not occurring.
If the probability of an event occurring is P(A), then the complement is 1 − P(A), often denoted as P(A').

What is the probability Haley selects a blue token?

\begin{array}{rcl} Probability of event occurring & = & \frac{number of ways event can occur}{total number of possible outcomes} \\ = & \frac{7}{2 + 7 + 3} \\ = & \frac{7}{12} \end{array}

What is the probability Haley does not select a blue token?

The probability of an event not occurring is 1 minus the probability of the event occurring.

1 - \frac{7}{12} = \frac{5}{12}

Experimental probability is a measure of the
likelihood of an event occurring based on trials.

Experimental Probability = \frac{number of trials where event occurs}{total number of trials}

\begin{array}{rcl} Experimental Probability & = & \frac{number of trials where event occurs}{total number of trials} \\ = & \frac{6}{25} \end{array}

Probability

Florida - Benchmarks for Excellent Student Thinking: MA.7.2.1

Determine the sample space for a simple experiment.

Florida - Benchmarks for Excellent Student Thinking: MA.7.2.2

Given the probability of a chance event, interpret the likelihood of it occurring. Compare the probabilities of chance events.

Florida - Benchmarks for Excellent Student Thinking: MA.7.2.3

Find the theoretical probability of an event related to a simple experiment

Florida - Benchmarks for Excellent Student Thinking: MA.7.2.4

Use a simulation of a simple experiment to find experimental probabilities and compare them to theoretical probabilities.

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