Question

question 14 5 pts if you flip a coin and roll a six - sided die, how many possible outcomes are there for this compound event?

Explanation:

Step1: Determine coin outcomes

A coin has 2 possible outcomes (heads or tails), so the number of coin outcomes is \( n_{coin} = 2 \).

Step2: Determine die outcomes

A six - sided die has 6 possible outcomes (1, 2, 3, 4, 5, 6), so the number of die outcomes is \( n_{die}=6 \).

Step3: Use multiplication principle

For a compound event with two independent events (flipping a coin and rolling a die), the total number of possible outcomes is the product of the number of outcomes of each event. So we calculate \( n_{total}=n_{coin}\times n_{die} \).
Substitute \( n_{coin} = 2 \) and \( n_{die}=6 \) into the formula: \( n_{total}=2\times6 = 12 \).

Answer:

12