you pick one card from each set and flip a coin. how many outcomes are possible?

Explanation:

Step1: Calculate card - picking combinations

There are 2 letter - cards and 4 number - cards. The number of ways to pick one letter - card and one number - card is the product of the number of letter - cards and the number of number - cards. Using the multiplication principle, the number of ways to pick a letter and a number is $2\times4 = 8$.

Step2: Combine with coin - flip outcomes

A coin flip has 2 possible outcomes (heads or tails). To find the total number of combined outcomes of picking cards and flipping a coin, we multiply the number of card - picking combinations by the number of coin - flip outcomes. So the total number of outcomes is $8\times2$. $8\times2=16$

Answer:

16