Agame is played as follows: a die numbered 1 to 6 is rolled. if the number 1 comes up, you get nothing. if the number 2, 3, or 5 comes up, you win $4. if the number 4 or 6 comes up, you lose $6. according to the expected value, this is a fair game.

1/6 chance of nothing

3/6 or 1/2 chance of $4

2/6 or 1/3 chance of -$6

Fair game.

Step-by-step explanation:

Prob(getting a 1) = 1/6

Prob(getting a 2,3 or 5) = 3/6 = 1/2

Prob(getting a 4 or a 6) = 2/6 = 1/3.

The expected value = 0*1/6 + 1/2*4 + 1/3*(-6)

= 0 + 2 - 2

= 0.

The net value is zero so it is a fair game.

n

step-by-step explanation:

[2, 2.5)

(2.5, 3]

step-by-step explanation:

i think its these two not sure [2, 2.5)

(2.5, 3]