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 mais experiment is correct? the experimental probability of the coin landing heads up is 1/2 and the theoretical probability of the coin landing heads up is 11/20. the experimental probability of the coin landing heads up is 11/20 and the theoretical probability of the coin landing heads up is 1/2. the experimental probability of the coin landing heads up is 11/20 and the theoretical probability of the coin landing heads up is 11/20. the experimental probability of the coin landing heads up is 1/2 and the theoretical probability of the coin landing heads up is 1/2.

Explanation:

Step1: Calculate experimental probability

Experimental probability = $\frac{\text{Number of times heads occurred}}{\text{Total number of trials}}$. Here, number of times heads occurred is 110 and total number of trials is 200. So experimental probability = $\frac{110}{200}=\frac{11}{20}$.

Step2: Recall theoretical probability

For a fair - coin, there are 2 possible outcomes (heads or tails). The theoretical probability of getting heads = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{1}{2}$.

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