Question

terri tosses an unfair weighted coin 200 times. the results are 70 heads and 130 tails. if we call heads a success, estimate the probability of terri tossing a head on the next toss?

Explanation:

Step1: Calculate the probability of heads

The formula for experimental probability is \(P=\frac{\text{Number of successful outcomes}}{\text{Total number of outcomes}}\).
Here, the number of successful outcomes (heads) is \(70\), and the total number of outcomes (coin - tosses) is \(200\).
So, \(P=\frac{70}{200}\).

Step2: Simplify the fraction

Simplify \(\frac{70}{200}\) by dividing both the numerator and the denominator by \(10\). We get \(\frac{7}{20}\).
Convert \(\frac{7}{20}\) to a percentage. Since \(\frac{7}{20}=\frac{7\times5}{20\times5}=\frac{35}{100} = 35\%\).

Answer:

\(35\%\)