flip the coin to find the probability of each event in the table. flip a coin 4 times and calculate the…

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})