Blackjack: Finding Expected Values of Games of Chance with Cards


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Suppose you draw two cards from a standard deck of 52. What is the probability that they are both kings?

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1. A game is played where you draw two cards from a deck of 52 cards. If the cards are both jacks, then you win $5. Otherwise you lose $1. If you play this game, then what can you expect to win or lose in the long run?

2. A game of Blackjack is played. Suppose you are the first player dealt with a new pack of cards. What is the probability you get an ace and a jack (in any order)?

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About This Quiz & Worksheet

Card games of chance can be fun, but it's important to understand probabilities before playing. In this quiz, you'll be asked to find the probability of several scenarios, as well as recalling key terms.

Quiz & Worksheet Goals

This quiz will test your ability to:

  • Find probability when using a standard deck of cards
  • Calculate how much you can expect to win or lose during a game
  • Find probability of getting two cards in any order in Blackjack
  • Understand the term for when one event affects the probability of another event

Skills Practiced

  • Reading comprehension - draw the most relevant information from the lesson on expected values in card games of chance
  • Critical thinking - use this information to consider probabilities in different scenarios
  • Problem solving - find probabilities when given situations in card games of chance
  • Information recall - remember information newly learned about expected values in card games of chance

Additional Learning

If you watch or read the lesson titled Blackjack: Finding Expected Values of Games of Chance with Cards, you can learn more about this topic. The lesson covers the following objectives:

  • Define dependent events
  • Know how to find the probability of picking 2 specific cards from a standard 52-card deck
  • Explain the game of Blackjack
  • Understand how to find an expected value when playing Blackjack