Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
GIVEN: A bag contains [tex]10[/tex] red [tex]6[/tex] green [tex]12[/tex] orange and [tex]8[/tex] purple candies, without looking Ann pulls one piece of candy out of the bag.
TO FIND: what is the probability that she pulls out a purple piece of candy.
SOLUTION:
Total number of candies in the bag [tex]=36[/tex]
Total number of purple candies in the bag [tex]=6[/tex]
Now,
Probability that Ann pulls out a purple piece of candy
[tex]=\frac{\text{number of purple candies}}{\text{total candies in bag}}[/tex]
putting values,
[tex]=\frac{6}{36}[/tex]
[tex]=\frac{1}{6}[/tex]
Hence, the probability that she pulls out a purple piece of candy is [tex]\frac{1}{6}[/tex]