Question

1. about 50% of the time marissa packs a sandwich for her lunch. about 25% of the time marissa packs leftovers and about 25% of the time she does not pack a lunch and orders take - out instead. explain how you could use a standard 52 - card deck of cards to simulate what marissa eats for lunch on any given day.

Explanation:

Step1: Assign probabilities to card groups

Since there are 52 cards. For sandwich (50% probability), assign \(26\) cards (half of \(52\)). For leftovers (25% probability), assign \(13\) cards (\(\frac{1}{4}\) of \(52\)). For take - out (25% probability), assign \(13\) cards (\(\frac{1}{4}\) of \(52\)).

Step2: Simulate the lunch choice

Shuffle the deck. Draw one card. If the card is from the \(26\) - card group, Marissa has a sandwich. If it is from one of the \(13\) - card groups, she has leftovers or take - out respectively.

Answer:

Use \(26\) cards for sandwich (50% of \(52\)), \(13\) cards for leftovers (25% of \(52\)) and \(13\) cards for take - out (25% of \(52\)). Shuffle and draw a card to simulate the lunch choice.