Roll a number cube. if the number cube comes up odd, you win the same number of points as the number on the cube. if the number comes up even, you lose 4 points. what is the expected number of points per roll? –0.25 –0.5 0 0.25 0.5

–0.5

Step-by-step explanation:

Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.

The odd rolls are 1, 3 and 5.  The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.

The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.

The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.

Rolling any even number gives us the same value.  The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.

Together we have

1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5

-0.5

Step-by-step explanation:

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

0 is its x and y coordinate