If you draw two marbles in sequence from a bowl with 10 black and 4 yellow marbles and replace the first marble before packing the second, what is the probability that both marbles are yellow ?

Explanation

Since there are 14 marbles makes the probabilites for the first marble are
`(4)/(14) " for Y and " (10)/(14)` for B . The returen of the first marble makes the first and seond picks
indepandent , so the second pick has the same probhabilities
Use the formula ` P(A nn B) = P (A) - P(B)` , where A and B are both Y (yellow).
to find `P(YnnY ) = (4)/(14), (4)/(14) = (16)/(196)` .