you flip a coin 30 time a get head 11 times so the chance of it getting head is 11/30 example of theoretical or experimental
Experimental.
The example you provided is experimental probability because it is based on actual results obtained from flipping the coin 30 times and counting the number of heads (11 times). Experimental probability is determined by conducting actual experiments or observations and calculating the probability based on the observed outcomes.
In order to determine if the result of 11 heads out of 30 coin flips is more likely to be theoretical or experimental, we need to understand the difference between the two.
Theoretical probability relies on mathematical calculations and predictions. It is based on the assumption that each outcome is equally likely and that there is no bias or external factors affecting the results. To calculate the theoretical probability of getting heads on a fair coin flip, we divide the number of favorable outcomes (in this case, getting a head) by the total number of possible outcomes. Since a fair coin has two sides, the probability of getting heads is 1/2.
On the other hand, experimental probability is based on actual data collected through the process of conducting experiments or trials. It involves performing the event multiple times and recording the outcomes to analyze the observed frequencies. This is often used when the theoretical probability is difficult to determine.
In your case, you flipped a coin 30 times and obtained 11 heads. To determine if this result is more likely to be theoretical or experimental, we need to compare it to the theoretical probability. The theoretical probability of getting heads on a fair coin flip is 1/2.
By comparing the observed frequency (11 heads) to the theoretical probability (1/2), we can conclude that the outcome is more likely to be experimental. This is because the observed frequency differs from the expected theoretical value, suggesting that there might be some degree of bias or external factors influencing the coin flips.
In summary, the result of 11 heads out of 30 coin flips is an example of experimental probability since it is based on observed data rather than a theoretical calculation.