Americas
Europe
Q35.
Expert-verifiedThe results of a simulation of coin flipping are shown.
Outcome | Frequency |
heads | 25 |
tails | 75 |
What is the theoretical probability of heads?
The theoretical probability is 0.5.
Simulations are used to perform experiments that would be difficult or impossible to perform in real life.
The theoretical probability describes how likely an event is to occur.
Theoretical probability $=\frac{\text{Total\hspace{0.17em}\hspace{0.17em}favorable\hspace{0.17em}\hspace{0.17em}outcomes}}{\text{Total\hspace{0.17em}\hspace{0.17em}possible\hspace{0.17em}\hspace{0.17em}outcomes}}$
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.
94% of StudySmarter users get better grades.
Sign up for free