you flip a coin, spin the spinner, and roll a die. how many outcomes are possible?
you flip a coin, spin the spinner, and roll a die. how many outcomes are possible?
Answer
Answer:
36
Explanation:
Step1: Determine coin - flip outcomes
A coin flip has 2 outcomes (heads or tails), so $n_1 = 2$.
Step2: Determine spinner outcomes
The spinner has 3 sections, so $n_2=3$.
Step3: Determine die - roll outcomes
A standard die has 6 faces, so $n_3 = 6$.
Step4: Use the counting principle
By the fundamental counting principle, the total number of outcomes $N=n_1\times n_2\times n_3$. Substitute $n_1 = 2$, $n_2 = 3$, and $n_3=6$ into the formula: $N=2\times3\times6=36$.