Differentiate between experimental and theoretical probability in the following question. Pashmina flips a double-sided coin 20 times, and it lands on heads 15 times. What is the theoretical probability that it will land on heads?(1 point) Responses 34 Start Fraction 3 over 4 End Fraction 25 Start Fraction 2 over 5 End Fraction 12 Start Fraction 1 over 2 End Fraction 14
Theoretical probability is the likelihood of an event happening based on reasoning, while experimental probability is based on the actual results of an experiment or trial.
In this case, to find the theoretical probability that the coin will land on heads, we use the formula for theoretical probability:
Theoretical probability = Number of favorable outcomes / Total number of possible outcomes
Since the coin has two sides, one of which is heads, there is 1 favorable outcome. The total number of possible outcomes is 2 (heads or tails). Therefore, the theoretical probability of the coin landing on heads is 1/2 or 1 out of 2.
Therefore, the correct answer is: 12 Start Fraction 1 over 2 End Fraction.