Question

You decide to simulate the results of flipping a coin 15 times. You assign heads a value of 0 and tails a value of 1. Use the simulated results to compare the probability of getting heads, then compare your estimation with the theoretical probability.
0 0 1 1 0 0 1 1 0 0 0 1 1 1 0
The simulated probability is 0.467, which is less than the theoretical probability.
The simulated probability is 0.533, which is more than the theoretical probability.
The simulated probability is 0.533, which is less than the theoretical probability.
The simulated probability is 0.500, whcih is equal to the thoeretical probability.

Answer 1

Answer: Choice B

Simulated probability = 0.533 (approximate)

Simulated probability is larger than theoretical probability

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Explanation:

Getting heads is written shorthand as a "0".

There are 8 copies of "0" in the list out of 15, so 8/15 = 0.533 is the approximate simulated probability.

Compare this to the theoretical probability 1/2 = 0.500 (assuming this is a fair coin)

The simulated probability (0.533) is larger than its theoretical counterpart (0.500)