To determine the experimental probability of a coin landing on heads based on Dave's experiment, we need to follow these steps:
1. Identify the total number of flips.
- Dave flips the coin 100 times. So, the total number of flips is 100.
2. Identify the number of heads.
- Out of these 100 flips, the coin lands on heads 47 times.
3. Calculate the experimental probability.
- The experimental probability of an event is given by the formula:
[tex]\[
\text{Experimental Probability} = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}}
\][/tex]
- For heads, this means substituting the number of heads and the total number of flips into our formula:
[tex]\[
\text{P(heads)} = \frac{47}{100}
\][/tex]
4. Simplify the fraction to a decimal.
- Dividing 47 by 100:
[tex]\[
\frac{47}{100} = 0.47
\][/tex]
Thus, the experimental probability of the coin landing on heads is:
[tex]\[
\text{P(heads)} = 0.47
\][/tex]
So, the answer is [tex]\( \text{P(heads)} = 0.47 \)[/tex].
