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You flip a coin and roll a die. How many outcomes are possible? $\newline$ ______

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Outcomes of compound events

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Q. You flip a coin and roll a die. How many outcomes are possible?

\newline

______

Determine Coin Outcomes: First, determine the number of possible outcomes for flipping a coin. $\newline$ Possible outcomes when you flip a coin: Heads (H), Tails (T) $\newline$ Number of outcomes for flipping a coin: $2$
Determine Die Outcomes: Next, determine the number of possible outcomes for rolling a die. $\newline$ Possible outcomes when you roll a die: $\{1, 2, 3, 4, 5, 6\}$ $\newline$ Number of outcomes for rolling a die: $6$
Calculate Total Outcomes: Now, calculate the total number of outcomes by multiplying the number of outcomes for flipping a coin by the number of outcomes for rolling a die. $\newline$ Total outcomes = Number of outcomes for flipping a coin $\times$ Number of outcomes for rolling a die $\newline$ Total outcomes = $2 \times 6$ $\newline$ Total outcomes = $12$

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