Questions: Suppose you toss a coin 100 times and get 52 heads and 48 tails. Based on these results, what is the estimated probability that the next flip results in a tail? The estimated probability that the next flip results in a tail is approximately (Type an integer or decimal rounded to two decimal places as needed)

Suppose you toss a coin 100 times and get 52 heads and 48 tails. Based on these results, what is the estimated probability that the next flip results in a tail? The estimated probability that the next flip results in a tail is approximately (Type an integer or decimal rounded to two decimal places as needed)

Transcript text: Suppose you toss a coin 100 times and get 52 heads and 48 tails. Based on these results, what is the estimated probability that the next flip results in a tail? The estimated probability that the next flip results in a tail is approximately (Type an integer or decimal rounded to two decimal places as needed)

Solution

Solution Steps

Step 1: Identify the Given Data

The problem states that a coin is tossed 100 times, resulting in 52 heads and 48 tails.

Step 2: Calculate the Probability of Heads

The probability of getting heads in the next flip can be estimated by the relative frequency of heads in the given data. This is calculated as: \[ P(\text{Heads}) = \frac{\text{Number of Heads}}{\text{Total Number of Tosses}} = \frac{52}{100} = 0.52 \]

Step 3: Calculate the Probability of Tails

Similarly, the probability of getting tails in the next flip can be estimated by the relative frequency of tails in the given data. This is calculated as: \[ P(\text{Tails}) = \frac{\text{Number of Tails}}{\text{Total Number of Tosses}} = \frac{48}{100} = 0.48 \]