Problem
A coin has 2 sides: heads $(H)$ and tails $(T)$. A bag has 3 balls: 1 red $(R), 1$ green (G), and 1 blue $(B)$. You toss a coin and randomly pick a ball. What is the sample space? A. $\{\mathrm{HR}, \mathrm{HG}, \mathrm{HB}, \mathrm{TR}, \mathrm{TG}, \mathrm{TB}, \mathrm{HT}, \mathrm{RG}, \mathrm{GB}, \mathrm{BR}\}$ B. $\{\mathrm{HR}, \mathrm{HG}, \mathrm{HB}, \mathrm{TR}, \mathrm{TG}, \mathrm{TB}\}$ C. $\{\mathrm{H}, \mathrm{T}, \mathrm{R}, \mathrm{G}, \mathrm{B}\}$ D. $\{\mathrm{H}, \mathrm{T}\}$
Solution
Step 1 ：Determine the possible outcomes for the coin and the ball: coin_outcomes = ['H', 'T'], ball_outcomes = ['R', 'G', 'B']
Step 2 ：Use the multiplication principle to find the total number of outcomes in the sample space: sample_space = ['HR', 'HG', 'HB', 'TR', 'TG', 'TB']
Step 3 ：\(\boxed{\{\mathrm{HR}, \mathrm{HG}, \mathrm{HB}, \mathrm{TR}, \mathrm{TG}, \mathrm{TB}\}}\)
