At a carnival, you spin a spinner that has four equal-sized sections, each a different color: green, yellow, red, and blue. If you land on green, you win 2 points. If you land on yellow, red, or blue, you lose 1 point. Write the expected value equation.What isa=b=c=d=e=f=g=

Given the statement:

At a carnival, you spin a spinner that has four equal-sized sections, each a different color: green, yellow, red, and blue. If you land on green, you win 2 points. If you land on yellow, red, or blue, you lose 1 point.

Determine the value of the equation.

Solutiuon:

We can determine the value of the equation, by simply writing the probability of winning 2 points and losing 1 point. Since the spinner has four equal size, and the probability of winning 2 points, is by landing on green, and the probability of losing 1 point is by landing on yellow, red and blue, then we can divide the values by 4 to determine the probability.

Probability of Winning 2 Points
= ¼
= 0.25

Probability of Losing 1 Point

= ¾
= 0.75

Since we are given a decimal answer, in order to convert it into percentage, we multiply the decimal by 100. Hence, in converting a percentage into decimal, we divide the percentage by 100.

= (0.25)(100)
= 25%

= (0.75)(100)
= 75%

Final answer:

Probability of Winning 2 Points = 25%

Probability of Losing 1 Point = 75%