Question

jo flips a coin {h, t}; then rolls a 6 - sided die {1, 2, 3, 4, 5, 6}.
how many possible outcomes are in the sample space of this experiment?
(1 point)
○ 4
○ 8
○ 12
○ 36

Explanation:

Step1: Determine the number of outcomes for coin flip

A coin flip has 2 possible outcomes ($H$ or $T$).

Step2: Determine the number of outcomes for die roll

A 6 - sided die roll has 6 possible outcomes ($1,2,3,4,5,6$).

Step3: Use the multiplication principle

The multiplication principle states that if one event has $m$ outcomes and another independent event has $n$ outcomes, then the total number of combined outcomes is $m\times n$. Here, $m = 2$ (coin flip outcomes) and $n=6$ (die roll outcomes). So the total number of outcomes in the sample space is $2\times6=12$.

Answer:

12