Four games, one winner

Four games, one winner#

Below are four versions of the same game. Your archnemesis gets to pick the version of the game, and then you get to choose how many times to flip a coin: \({{ params.num1 }}\) times or \({{ params.num2 }}\) times. Identify how many coin flips you should choose for each version of the game. It costs $1 to play each game.

Part 1#

If the proportion of heads is larger than 0.7, you win $1.

Answer Section#

  • 10

  • 100

Part 2#

If the proportion of heads is larger than 0.3, you win $1.

Answer Section#

  • 10

  • 100

Part 3#

If the proportion of heads is between \({{ params.part3.num1 }}\) and \({{ params.part3.num2 }}\), you win $1.

Answer Section#

  • 10

  • 100

Part 4#

If the proportion of heads is smaller than \({{ params.part4.num1 }}\), you win $1.

Answer Section#

  • 10

  • 100

Attribution#

Problem is from the OpenIntro Statistics textbook, licensed under the CC-BY 4.0 license.
Image representing the Creative Commons 4.0 BY license.