How Do I Use This Activity?

This activity allows the user to calculate the probability of each number (2-12) appearing when two dice are rolled, as well as get practice converting probabilities into fractions, decimals, and percentages.

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Controls and Output

• To assign a winning sum (Score) to a player, select the player's name next to the score by clicking on the selection sign: next to that score, and then on the player's name; in the list that will appear. In our example, Player A wins if the score is 2 or 4, Player E wins if the sum is 6, and Player F wins if the sum is 9 or 12. Nobody wins if the dice produce the rest of the possible sums:
  

• The winning combinations of dice numbers for each player is shown in a table. For example, Player E (whose winning sum we set to be 6) wins for five different combinations of numbers on the green and red dice (Green 1 Red 5; Green 2 Red 4; Green 3 Red 3; Green 4 Red 2; and Green 5 Red 1):
  

• To study a particular player in detail, choose this player in the Select a player [____] menu by clicking on the selection sign: , and then on the player's name  in the list that will appear. In our example, Player A is selected:
  

  To check the probability of winning for the selected player, use any of the four expressions of the probability, as follows.

• To check the probability by outcomes, type the numbers of outcomes for the player in the Q#1: The player wins in [____] out of [____] outcomes spaces. In our example, Player A wins in 4 out of 36 outcomes:
  

  Then click on the check #1 button to have the software verify your answer:

  

• To check the probability by fractions, type the numerator and the denominator of the probability of the player winning in the Q#2: The probability to win as a simple fraction is [____] / [____] spaces. For Player A, the probability of winning is 1/9:
  

  Then click on the check #2 button to have the software verify your answer:

  

• To check the probability by decimals, type the probability of the player winning in the decimal form (rounded to four digits after the decimal point) in the Q#3: The same probability in decimal form rounded to four places is [____] space. For Player A, the probability of winning is .1111:
  

  Then click on the check #3 button to have the software verify your answer:

  

• To check the probability by percents, type the probability of the player winning in percents (rounded to two decimal places) in the Q#4: The same probability in percents rounded to two decimal places is [____] space. For Player A, the probability of winning is 11.11%:
  

  Then click on the check #4 button to have the software verify your answer: