Question

Maria spins a penny 100 times and it lands head side up 62 times. Explain why Maria’s experimental probability may be different from the theoretical probability of spinning a coin

Answer 1

To solve the question we shall proceed as follows:
Theoretical probabilities generally deals with the nature of the experiment and events, this differs from the experimental probabilities relies on the fact of actual occurrence of the experiment and the events. In other words, experimental probability is an estimate simply based on the probabilities that cannot at all be determined by simple logic. It is the ratio of the number of times an event is occurring to the total number of times or trials that an activity has been repeated for.
From the question, the experimental probability will be:
62/100
=0.62
this differs with theoretical probability which states that at any occasion the probability of the coin coming up heads when tossed is 1/2

Answer 2

The reason why Maria's experimental probability may be different from the theoretical probability of spinning a coin is because the theoretical is when you do not have the exact answer, which you kind of guess, while the experimental probability, you find out the exact answer of the problem.

Experimental probability: 62/100 of heads and 38/100 of tails

Theoretical probability: 50/100 of heads and 50/100 of tails (Since a coin only has two sides, which is heads and tails, the chance might be 50% of heads and 50% of tails.)

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