The prices of three t-shirts are $24, $30, and $36 what is the probability of choosing a $24 t-shirt is 1/6. the probability of choosing a $20 t-shirt is 1/2. the probability of choosing a $36 t-shirt is 1/3. what is the expected value of a t-shirt?

convert all to a common ratio

24 1/6

30 3/6

36 2/6

(24+30+30+30+36+36)/6

186/6

the expected value is 31.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.