Find the probability for the experiment of drawing two marbles (without replacement) from a bag containing one green, two yellow, and three red marbles.

Question

P(both marbles are yellow) = ?

 

P(neither marble is red) = ?

 

Write your answer as a fraction in simplest form a/b.

Answer 1

1. P(yellow on first try) = 2/6 and P(yellow on 2nd try, given first try) = 1/5; therefore P(both yellow) = 1/15

 

2. P(not not red 1st try) = 3/6 and P(not red 2nd try given first try)=2/5; therefore P(both not red) = 1/5