Question

A bag contains 6 purple marbles, 7 azure marbles and 10 orange marbles. What is the chance of drawing an orange marble? If an orange marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing an azure marble? Give solutions exactly in reduced fraction form, separated by a comma

Answer 1

Total number of marbles = 23.

Now we have
\[P(orange)= {No. of orange \over total no.}={ 10 \over 23}\]

Answer 2

probability of orange marble = 10/23

probability of azure = 7/23

Answer 3

Similarly for azure marble you have \[7 \over 23\]