Question

flip the coin to find the probability of each event in the table. flip a coin 4 times and calculate the experimental probability of the coin landing heads up. coin 4 more times to increase the total number of flips. what is the experimental probability of the coin landing heads up? event count heads 0 tails 0 1/4 1/2 3/4 4/3 3/1 flip reset

Explanation:

Step1: Recall experimental - probability formula

Experimental probability \(P(E)=\frac{\text{Number of times event }E\text{ occurs}}{\text{Total number of trials}}\)

Step2: Determine number of trials and heads

We flip a coin 4 times. Let \(x\) be the number of heads. The experimental - probability of getting heads is \(P(\text{heads})=\frac{x}{4}\). But we don't know the actual number of heads from the given information. However, if we assume a fair - coin, in theory, the probability of getting heads in a single flip is \(\frac{1}{2}\). In an experiment of 4 flips, the possible number of heads \(x\) can range from 0 to 4. The experimental probability is calculated based on the actual results of the 4 flips. If we assume we get 1 head out of 4 flips, the experimental probability is \(\frac{1}{4}\), if 2 heads then \(\frac{2}{4}=\frac{1}{2}\), if 3 heads then \(\frac{3}{4}\), and if 4 heads then \(\frac{4}{4} = 1\). Since we have no result data yet, we just consider the formula for experimental probability.

Answer:

It depends on the actual number of heads in the 4 - coin flips. If \(x\) is the number of heads in 4 flips, the experimental probability of getting heads is \(\frac{x}{4}\), where \(x\in\{0,1,2,3,4\}\)