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. flip a coin 4 more times to increase the total number of trials to 8. what is the experimental probability of the coin landing heads up? event count heads 0 tails 0

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: Calculate experimental probability for 4 - coin flips

Let's assume the number of heads when flipping a coin 4 times is \(h_1\). The total number of trials \(n_1 = 4\). So the experimental probability \(P_1=\frac{h_1}{4}\)

Step3: Calculate experimental probability for 8 - coin flips

After flipping 4 more times, the total number of trials \(n_2=8\). Let the total number of heads after 8 flips be \(h_2\). Then the experimental probability \(P_2=\frac{h_2}{8}\)

Since we don't have the actual number of heads for each set of flips, we can't give a numerical answer. But the general formulas for the experimental probabilities are as above.

Answer:

The experimental probability when flipping a coin 4 times is \(\frac{\text{Number of heads in 4 flips}}{4}\), and when flipping a coin 8 times is \(\frac{\text{Total number of heads in 8 flips}}{8}\)