Henry is going to color a spinner with 8 equal-sized sections.Three of the sections will be blue and 5 of the sections will be purple. Is this spinner fair? If so explain why. If not explain how to make it a fair spinner

Respuesta :

Answer:

The spinner is not fair

Step-by-step explanation:

Given

[tex]Sections = 8[/tex]

[tex]Blue = 3[/tex]

[tex]Purple = 5[/tex]

Solving(a): Is it fair?

The spinner is not fair because the probability of an outcome of Blue does not equal the probability of obtaining Purple.

i.e.

[tex]P(Blue) = \frac{3}{8}[/tex]

[tex]P(Purple) = \frac{5}{8}[/tex]

[tex]\frac{3}{8} \ne \frac{5}{8}[/tex]

Solving (b):

To make it fair, the blue sections and the purple sections must be made equal (4 each)