Question

Two students devised a game called “3 Pennies & 2 Nickels.” Each player will choose to play the pennies or the nickels. In each round, the players will flip all their coins on the table and record how many heads and tails they have. The table below includes the point scheme.

"
Point Values for “3 Pennies & 2 Nickels”
Penny Points Nickel Points
All pennies heads: –2 Both nickels heads: –2
At least one of each: +3 One of each: +5
All pennies tails: –2 Both nickels tails: -2

Answer 1

Alyssa wants to play the game. Choose the statement below that is correct in all aspects.
E(penny) = –0.33 and E(nickel) = 0.33, so she should play with the nickels.
E(penny) = 0.5 and E(nickel) = 1.5, so she should play with the nickels.
E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies.
E(penny) = 2.38 and E(nickel) = 2, so she should play with the pennies.

Answer 2

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