If a person rolls doubles when tossing two dice, the roller profits $90. lf the game is fair, how much should the person pay to play the game?

Answer 1

For a fair game, the person should pay #$15# to play.

#P("doubles")=1/6# #color(white)("XXX")#One way to see this is to recognize that whatever #color(white)("XXX")#value shows up on the face of the first die #color(white)("XXX")#there is a #1/6# that that value will show up on the second die.

So on average a player can expect to win 1 roll out of each 6 attempts.

For a fair game #color(white)("XXX")"amount to be won" xx"probability of winning" = "cost of each play"#

In this case #color(white)("XXX")$90 xx 1/6 =$15#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Julia Adams

The person should pay $15 to play the game.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.