Question

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. You draw the first marble, return it to the box and draw a second marble. What is P(both marbles are orange)?

Answer 1

1/15

Explanation:

1/5+3+2 all of the marbles

2/10 odds of drawing an orange marble(bc 2 orange marble)

3/9 because to get 3 green and 1 marble is removed and 9 is total marbles left

2/10*3/9=1/15 muliply odds because 2 draws of marbles