Problem preview

S-CP.8 Warmup M2-070-A09-V02

Apply and interpret the general Multiplication Rule with conditional probability.

Find the probability of an ordered compound event using the multiplication rule

Problem

For the ordered sequence \(\text{heads},~\text{tails},~\text{heads}\), multiply one \(1/2\) factor for each of the three independent flips.

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3/8

(1/2)(1/2)(1/2)=1/8

1/2+1/2+1/2=3/2

(1/2)(1/2)=1/4

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Curriculum context

Course: Math II
Standard: S-CP.8
Category: Statistics and Probability
Domain: Conditional Probability and the Rules of Probability
Objective: Apply and interpret the general Multiplication Rule with conditional probability.
Problem type: Find the probability of an ordered compound event using the multiplication rule