Problem

Suppose you toss a coin 100 times and get 58 heads and 42 tails. Based on these results, what is the probability that the next flip results in a head?
The probability that the next flip results in a head is approximately
(Type an integer or decimal rounded to two decimal places as needed.)

Answer

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Answer

Final Answer: The probability that the next flip results in a head is approximately \(\boxed{0.58}\).

Steps

Step 1 :Suppose you toss a coin 100 times and get 58 heads and 42 tails. Based on these results, what is the probability that the next flip results in a head?

Step 2 :The probability of getting a head or tail in a coin toss is independent of the previous results. However, based on the given results, we can estimate the probability of getting a head in the next toss by calculating the ratio of the number of heads to the total number of tosses.

Step 3 :Let's denote the number of heads as \(heads = 58\) and the total number of tosses as \(total_tosses = 100\).

Step 4 :We calculate the probability of getting a head in the next toss as \(probability_head = \frac{heads}{total_tosses} = \frac{58}{100} = 0.58\).

Step 5 :The probability of getting a head in the next toss, based on the given results, is approximately 0.58. This is not a prediction of the actual outcome of the next toss, but an estimation based on the observed frequency of heads in the previous tosses.

Step 6 :Final Answer: The probability that the next flip results in a head is approximately \(\boxed{0.58}\).

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