In this activity, you will use proportional relationships to predict how many times an event should occur for a certain number of trials. A standard deck of playing cards has four suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards, from ace to king. Use this information to answer the following questions. Part A
What is the ratio of threes to the total number of cards in the deck?

part b Let x represent the number of times you’d expect a three to be drawn out of a total of 260 draws. Using the ratio from part A, write a proportion you can use to solve for x.

Part C
Solve the proportion you found in part B to determine the number of times you should expect a three to be drawn out of a total of 260 draws.

Part D
Is the answer that you got in part C an estimate or an exact number? Why?

Part E
How many times would a face card (jack, queen, or king) likely be drawn from the deck in 260 draws?

Part F
How many times would you expect a heart to be drawn in 260 draws from the deck?

Part G
Should you be surprised if a face card is drawn more times than a heart in 260 random draws? Why?