Question

Choose one of the following games from the Games Fair:

• Four Coin Flip
  • Each flip of the four coins costs 10 points
  • You win:
  • 10 points if you flip two heads
  • 30 points if you flip no heads
• Five Card Shuffler
  • Each hand of five cards costs 10 points
  • You win:
  • 20 points for no hearts
  • 0 points for one heart
  • 10 points for two hearts
  • 20 points for three hearts
  • 50 points for four hearts
  • 1000 points for five hearts
• Four Dice Roller
  • Each roll of the four dice costs ten points
  • You win:
  • 10 points if no sixes occur
  • 20 points is two sixes occur
  • 50 points if three sixes occur
  • 200 points if four sixes occur
• Word Scramble
  • Each time the four letters are scrambled it costs 10 points
  • You win:
  • 0 points if first letter is in the correct position
  • 5 points if second letter is in the correct position
  • 10 points if third letter is in the correct position
  • 15 points if fourth letter is in the correct position
  • 20 if two letters including the first is in the right position
  • 25 if two letters not including the first is in the right position
  • 40 if all four letters are in the correct positions
• Marble Draw
  • 15 marbles are in a bag, seven of which are red
  • Drawing four marbles without replacement costs 10 points
  • You win:
  • 30 if there are zero red
  • 10 if there is one red
  • 0 if there are two red
  • 20 if there are three red
  • 50 if all four of the marbles are red

Play the game 100 times and and record your outcomes to form an experimental probability distribution.

Calculate the experimental expected value and create a bar graph displaying the probability distribution.

Answer 1

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