Your mathematics teacher has decided that instead of a test, you and your classmates will have the option of playing a

[answerhappygod]

Your mathematics teacher has decided that instead of a test, you
and your classmates will have the
option of playing a game! Each student has the choice of picking
one of two games, both of which
involve flipping a coin ten times.



GAME 1
Flip a coin ten times. For each head, the student
wins 2 points, but for each tail, the student loses 1
point.

GAME 2
Flip a coin ten times. For each head, the student
wins 100 points, but for each tail, the student
loses 99 points.

Your grade depends on your final score:
• Scores lower than -10 will receive an F.
• Scores from –10 to 0 will receive a D.
• Scores from 1 to 10 will receive a C.
• Scores from 11 to 99 will receive a B.
• Scores 100 and higher will receive an A.
6. In games of chance involving points it is often interesting
to know what the average
points per turn would be over many turns. This long-term average is
called the expected value
for the game. What is the expected value for Game 1? For Game 2?
Compare these two values.
What do you conclude about these two games?