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

Answer

Explanation:

Step1: Determine coin - flip outcomes

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

Step2: Determine marble - pick outcomes

There are 2 marbles, so $n_2=2$.

Step3: Determine card - pick outcomes

There are 6 cards, so $n_3 = 6$.

Step4: Use the multiplication principle

The total number of possible outcomes is the product of the number of outcomes of each event. So the total number of outcomes $N=n_1\times n_2\times n_3$. $N = 2\times2\times6$ $N=24$