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Expert-verified Found in: Page 796 ### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801 # The results of a simulation of coin flipping are shown.OutcomeFrequencyheads25tails75What is the theoretical probability of heads?

The theoretical probability is 0.5.

See the step by step solution

## Step 1. Define the meaning of simulation.

Simulations are used to perform experiments that would be difficult or impossible to perform in real life.

## Step 2. Define the meaning of theoretical probability.

The theoretical probability describes how likely an event is to occur.

Theoretical probability $=\frac{\text{Total\hspace{0.17em}\hspace{0.17em}favorable\hspace{0.17em}\hspace{0.17em}outcomes}}{\text{Total\hspace{0.17em}\hspace{0.17em}possible\hspace{0.17em}\hspace{0.17em}outcomes}}$

## Step 3. Determine the theoretical probability of heads.

Since, for a coin in a single throw there is only two possible outcomes either a head or a tail.

So,

Total favorable outcomes for head $=1$

Total possible outcomes $=2$

To find the theoretical probability of heads, divide the total favorable outcomes of heads by the total possible outcomes.

So, the theoretical probability for heads is

$=\frac{1}{2}=0.5$

Therefore, the theoretical probability is 0.5. ### Want to see more solutions like these? 