Question

1. what is the theoretical probability of flipping a heads on a fair coin?

a. $\frac{3}{4}$
b. $\frac{1}{2}$
c. $\frac{1}{4}$
d. $\frac{1}{3}$

Explanation:

Step1: Determine total outcomes

A fair coin has 2 possible outcomes: heads (H) or tails (T). So, total number of outcomes \(n = 2\).

Step2: Determine favorable outcomes

The favorable outcome (getting heads) is 1. So, number of favorable outcomes \(m=1\).

Step3: Use probability formula

The probability formula is \(P=\frac{m}{n}\). Substituting \(m = 1\) and \(n = 2\), we get \(P=\frac{1}{2}\).

Answer:

B. \(\frac{1}{2}\)