Problema Solution

Determine whether the following statement makes sense or does not make​ sense, and explain your reasoning.

​Here's my​ dilemma, I can accept a ​$1200 bill or play a game ten times. For each roll of the single​ die, I win ​$600 for rolling 1 or​ 2; I win ​$500 for rolling​ 3; and I lose ​$300for rolling​ 4, 5, or 6. Based on the expected​ value, I should accept the ​$1200 bill.

Does this make sense?

Answer provided by our tutors

The expected value is:

E = (2/10)*600 + (1/10)*500 - (3/10)*300

E = $80

The expected value is $80, meaning you should accept the $1,200.