Question

mai conducted an experiment by flipping a fair coin 200 times. the coin landed heads up 110 times. which statement about the coin landing heads up in mai’s experiment is correct?

the experimental probability of the coin landing heads up is \\(\frac{1}{2}\\) and the theoretical probability of the coin landing heads up is \\(\frac{11}{20}\\).

the experimental probability of the coin landing heads up is \\(\frac{11}{20}\\) and the theoretical probability of the coin landing heads up is \\(\frac{1}{2}\\).

the experimental probability of the coin landing heads up is \\(\frac{11}{20}\\) and the theoretical probability of the coin landing heads up is \\(\frac{11}{20}\\).

the experimental probability of the coin landing heads up is \\(\frac{1}{2}\\) and the theoretical probability of the coin landing heads up is \\(\frac{1}{2}\\).

Explanation:

Step1: Calculate experimental probability

Experimental probability = $\frac{\text{Number of heads}}{\text{Total flips}} = \frac{110}{200} = \frac{11}{20}$

Step2: Identify theoretical probability

A fair coin has 2 equal outcomes, so theoretical probability of heads is $\frac{1}{2}$.

Answer:

The experimental probability of the coin landing heads up is $\frac{11}{20}$ and the theoretical probability of the coin landing heads up is $\frac{1}{2}$.