Poker: Finding Expected Values of Low Hands

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

What is a probability formula that uses factorials to find the number of possible combinations of all the outcomes in an experiment?

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1.

After finding the number of ways to get four-of-a-kind for four cards in a poker hand, should you use:

a. 48 choose 1

or

b. 12 choose 1 x 4 choose 1

to describe all possible ways for getting the 5th card? Explain your reasoning.

2. Calculate the number of combinations of getting a four-of-a-kind hand in poker.

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About This Quiz & Worksheet

This quiz and worksheet combo will assess your ability to apply probability principles to the game of poker. Some of the information you'll need to know includes the formula that uses factorials to find the number of possible hands of all the outcomes.

Quiz & Worksheet Goals

Use these assessment tools to practice the following:

  • Calculating the probability of drawing a four-of-a-kind
  • Finding the number of different ways to draw a four-of-a-kind
  • Finding the probability and the number of different ways to draw a three-of-a-kind
  • Determining the number of different ways to draw a pair

Skills Practiced

  • Making connections - apply understanding of concepts in probability to the game of poker
  • Problem solving - use acquired knowledge to solve probability practice problems
  • Interpreting information - verify that you can process information about poker and probability and interpret it correctly

Additional Learning

To ensure your understanding of the topic, review the accompanying lesson, Poker: Finding Expected Values of Low Hands. The lesson contains the following objectives:

  • Learn the formula for finding every possible hand in all possible outcomes
  • Understand the properties of a standard shuffled deck of playing cards
  • Apply the formula to find the probability of drawing a full house
  • Use the formula to find the probability of drawing low poker hands
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