Q33. - Algebra 1

Question

The results of a simulation of coin flipping are shown.

Outcome	Frequency
heads	25
tails	75

 

What is the experimental probability of heads?

Step-by-Step Solution

Answer

The experimental probability is 0.25.

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 experimental probability.

The experimental probability is the ratio of the number of times an outcome occurs to the total number of events or trials.

Experimental probability $=\frac{\text{frequency\hspace{0.17em}\hspace{0.17em}of\hspace{0.17em}\hspace{0.17em}an\hspace{0.17em}\hspace{0.17em}outcome}}{\text{total\hspace{0.17em}\hspace{0.17em}number\hspace{0.17em}of\hspace{0.17em}\hspace{0.17em}trials}}$

Step 3. Determine the experimental probability of heads.

Observe the given table.

The frequency for heads $=25$

The frequency for tails $=75$

So, the total number of trials $=25+75=100$

To find the experimental probability of heads, divide the frequency of heads by the total frequency.

So, the experimental probability is

$=\frac{25}{100}=0.25$

 

Therefore, the experimental probability is 0.25.