Question

what is the experimental probability that the coin lands on heads? Express your answer as a fraction.
Math Input:
Heads:24
Tails21

Answer 1

To find the experimental probability that the coin lands on heads, we use the formula for experimental probability:

\[
P(\text{Heads}) = \frac{\text{Number of times Heads occurred}}{\text{Total number of trials}}
\]

In this case:
- The number of times heads occurred is 24.
- The total number of coin flips (trials) is the sum of heads and tails: \( 24 + 21 = 45 \).

Now we can calculate the probability:

\[
P(\text{Heads}) = \frac{24}{45}
\]

To simplify this fraction, we can divide the numerator and the denominator by their greatest common divisor (GCD), which is 3:

\[
\frac{24 \div 3}{45 \div 3} = \frac{8}{15}
\]

Therefore, the experimental probability that the coin lands on heads is:

\[
\frac{8}{15}
\]