The spinner is divided into 10 equal sections. A spinner divided into 10 equal sections labeled 1 through 10.

Which event has theoretical probability of exactly One-fifth? Select three options.

1.) spinning a 4 or 5

2.) spinning a number less than 3

3.) spinning a number greater than 8

Step-by-step explanation:

The spinner has 10 spaces, if we took a 4/5 (2) and made it into a fraction (2/10) then simplified is (1/50---Less than 3, so that means not 3 itself either, so a 1 or a 2, so (2/10), then simplify it, (1/5)--- Greater than 8, so not 8 itself, so 9 or a 10 (2/10) then simplified, (1/5)

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2