Question

ing the law of large numbers to a carnival game
this is a multi - part item.
at a carnival, you spin a spinner that has four
cqual - 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.
e(v)=\frac{1}{a}(2)+\frac{1}{b}(c)+\frac{1}{d}(e)+\frac{1}{f}(g)

Explanation:

Step1: Determine the probability for each color

Since there are 4 equal - sized sections, the probability of landing on any one color is $\frac{1}{4}$. So, $a = 4$, $b = 4$, $d = 4$, $f=4$.

Step2: Determine the value for non - green colors

If you land on yellow, red, or blue, you lose 1 point. So, $c=-1$, $e = - 1$, $g=-1$.

Answer:

$a = 4$
$b = 4$
$c=-1$
$d = 4$