Question

what is the probability of each outcome in a fair coin toss represented on a probability tree?
a. $\frac{1}{4}$
b. $\frac{1}{3}$
c. $\frac{3}{4}$
d. $\frac{1}{2}$

Explanation:

Step1: Determine total number of outcomes

A fair coin has 2 possible outcomes (heads or tails).

Step2: Calculate probability of each outcome

Probability formula: \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). For each outcome (either heads or tails), number of favorable outcomes = 1. So \(P = \frac{1}{2}\).

Answer:

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