A bag contains 10 red 6 green 12 orange and 8 purple candy's without looking Ann pulls one piece of candy out of the bag what is the probability she pulls out a purple piece of candy

Respuesta :

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]