A spinner is divided into 4 equal - size sections. The sections 4 are red green orange and blue. If Joana spins the spinner twice what are the possible outcomes

Respuesta :

Answer:

RR   RG   RO   RB

GG   GR   GO   GB

OO   OR   OG   OB

BB   BR   BG   BO

There are 16 possible outcomes.

Step-by-step explanation:

For this question, we combine the possibilities together.

R = red  G = green  O = orange  B = blue

There are 16 possible outcomes.

You can also find the total number of possible outcomes by using the formula for permutations.  n is the total number of choices.  r is the number you are examining.

[tex]\frac{n!}{(n-r)!}[/tex]

[tex]\frac{4!}{(4-2)!} =12[/tex]

This number doesn't include the outcome of having the same color twice.  There are four colors meaning that their four outcomes in which the same color is spun twice.

12 + 4 = 16