Problem
Coin Toss Lab In this lab, we will examine the Law of Large Numbers and use it to determine if a coin is unfair. A fair coin is equally weighted on each side. An unfair coin is a coin that weighs more on one side so that the chances of it landing on a certain side is more likely. In this activity, $H$ will represent the coin landing heads up and $T$ will represent the coin landing tails up. 1. Before you toss the coin, use theoretical probability to determine the probability of the coin landing heads up and the probability of the coin landing heads down. \[ \begin{array}{l} P(H)=1 \times \text { (Click to view hint) } \\ P(T)=100 \quad \times \quad \text { (Click to view hint) } \end{array} \]
Solution
Step 1 ：\(\text{Total Outcomes} = 2\)
Step 2 ：\(P(H) = \frac{1}{\text{Total Outcomes}} = \frac{1}{2}\)
Step 3 ：\(P(T) = \frac{1}{\text{Total Outcomes}} = \frac{1}{2}\)
Step 4 ：\(\boxed{P(H) = 0.5, P(T) = 0.5}\)
