Question

Juan runs a company that makes pens. He notices that 1 out of every 9 pens are faulty. He uses a standard deck of cards to model the situation, with all the 10s representing faulty pens. Which statement about his model is true?

A) His model can be improved the most by removing all face cards from the deck.
B) His model can be improved the most by removing all the face cards and aces from the deck.
C) His model cannot be improved.

Answer 1

Answer: His model can be improved the most by removing all the face cards and aces from the deck

Answer 2

Option B is the correct answer.

We are given that 1 out of every 9 pens is faulty which means the group of pens that we consider must be 9 pens in total.

We have to see whether the model situation of a standard deck of cards where all the 10s represent the faulty pens needs improvement.

What are the different types of cards in a standard deck of cards?

A standard deck of cards has 52 cards in total. It has four suites:

Hearts, Clubs, Spades, and diamonds.

Each suite has 13 cards:

ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king.

We are to consider only 9 pens in a group where one pen is to be faulty.

From the model of using a standard deck of cards we have four groups:

- Hearts, Clubs, Spades, and diamonds.

Each group has 13 cards but we need only 9 cards to represent the required situation.

If we remove all the face cards from each group i.e jack, queen, and king along with the ace we are left with 9 cards.

Now we already know that card 10 will represent the faulty pen in each group.

This situation is true to represent the model.

Thus, we can say that his model can be improved the most by removing all the face cards and aces from the deck.

Learn more about the deck of cards problems here:

https://brainly.com/question/19202591

#SPJ5