Question

Gillian and her friends are playing a card game using a standard deck, but without the aces. In the deck, there are 36 numbered cards, 4 jacks, 4 queens, and 4 kings. The numbered cards are worth 1 point, jacks are worth 2 points, queens are worth 3 points, and kings are worth 4 points. Each person draws one card, writes down what its worth, and then puts it back. The player with the highest point total after 10 rounds wins. If there are 4 players playing the game, what is the best prediction for the amount of numbered cards that will be drawn during the game?

Answer 1

30

Explanation:

To find the best prediction for the amount of numbered cards that will be drawn during the game, first find the probability of drawing a numbered card. There are 36 numbered cards and 48 total cards. So, the probability of drawing a numbered card is or .

Now, multiply the probability by the number of times a card will be drawn from the deck. Since there are 10 rounds and 4 players, a card will be drawn from the deck 10 × 4, or 40, times. So, multiply by 40.

Therefore, the best prediction for the amount of numbered cards that will be drawn during the game is 30.