I flipped the coin 10 times and got heads 4 times and tails 6 times. Therefore, the frequency of heads is 4 and the frequency of tails is 6.
Compare the experimental probability to the theoretical probability
To compare the experimental probability to the theoretical probability, we need to calculate the probabilities for both heads and tails based on the given information.
The theoretical probability of getting heads or tails when flipping a fair coin is 1/2 for each outcome. This means that in a large number of coin flips, we would expect the probability of getting heads to be close to 1/2 and the same for tails.
In the given experiment of flipping the coin 10 times, we got heads 4 times and tails 6 times. To find the experimental probability for each outcome, we divide the frequency by the total number of trials (10 in this case).
Experimental probability of heads = (Frequency of heads) / (Total number of trials)
= 4/10
= 2/5
Experimental probability of tails = (Frequency of tails) / (Total number of trials)
= 6/10
= 3/5
Comparing the experimental proability (2/5 for heads and 3/5 for tails) to the theoretical probability (1/2 for both heads and tails), we see that the experimental probability is close to the theoretical probability. This suggests that the coin used in the experiment is fairly balanced.