Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00 for rolling a 1 or a 6, nothing otherwise. what is your expected value?

. and you get 5 dollars when you roll 3 or 6 when you roll something else.

So the expected value is

06+06+56+06+06+56=106=53

.

This means loosely that if you played this game a lot you should expect to win on average about 1.66 dollars, while you payed 3 to play it. Clearly this is a great idea if you want to lose money.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3