Let's go through the steps to determine the experimental probability that a person will win when playing your game. We'll follow a logical sequence to arrive at the correct probability.
1. Count the Wins and Losses:
- You have already counted the number of wins and losses so far.
- Wins = 17
- Losses = 123
2. Calculate the Total Number of Plays:
- Total plays is the sum of the wins and the losses.
- Total plays = Wins + Losses = 17 + 123 = 140
3. Determine the Experimental Probability:
- The experimental probability of an event is given by the number of successful outcomes divided by the total number of trials.
- In this case, the successful outcome is winning, so the experimental probability of winning is:
[tex]\[
P(\text{winning}) = \frac{\text{Number of wins}}{\text{Total number of plays}} = \frac{17}{140}
\][/tex]
4. Convert to Decimal Form (if needed):
- To give a more intuitive understanding, you might want to convert this fraction to a decimal by performing the division.
- [tex]\[
P(\text{winning}) = \frac{17}{140} \approx 0.1214
\][/tex]
Therefore, the experimental probability that a person will win the game is [tex]\(\frac{17}{140}\)[/tex] or approximately [tex]\(0.1214\)[/tex], which is about 12.14%.
