you flip a coin, pick a card, and roll a die. how many outcomes are possible?

Explanation:

Step1: Determine coin - flip outcomes

A coin flip has 2 outcomes (heads or tails), so $n_1 = 2$.

Step2: Determine card - pick outcomes

There are 5 cards, so $n_2=5$.

Step3: Determine die - roll outcomes

A die roll has 6 outcomes, so $n_3 = 6$.

Step4: Use the multiplication principle

The total number of outcomes $N=n_1\times n_2\times n_3$. $N = 2\times5\times6$ $N=60$

Answer:

60