Question

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

Explanation:

Step1: Determine number of die - outcomes

A standard die has 6 faces, so there are 6 possible outcomes when rolling a die.

Step2: Determine number of card - outcomes

Assume a standard deck of 52 cards, so there are 52 possible outcomes when picking a card.

Step3: Use multiplication principle

The multiplication principle of counting states that if there are \(m\) ways to do one thing and \(n\) ways to do another thing, then there are \(m\times n\) ways to do both things. Here \(m = 6\) (die outcomes) and \(n=52\) (card outcomes), so the total number of combined outcomes is \(6\times52=312\).

Answer:

312