you flip a coin, pick a card, and pick a marble. 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 card - pick outcomes

There are 3 cards (K, L, M), so $n_2=3$.

Step3: Determine marble - pick outcomes

There are 5 marbles, so $n_3 = 5$.

Step4: Use the counting principle

The total number of outcomes is the product of the number of outcomes of each event. So the total number of outcomes $N=n_1\times n_2\times n_3$. $N = 2\times3\times5$ $N=30$