Find the requested probability.
-A box contains the following mixture of colored marbles: 2 black, 1 red, 4 yellow, and 2 green. If two marbles are drawn, the second being drawn after the first is replaced, then what is the Probability that both are yellow?
A) $\frac { 1 } { 72 }$
B) $\frac { 1 } { 6 }$
C) $\frac { 16 } { 81 }$
D) $\frac { 4 } { 27 }$

Question

Find the requested probability.
-A box contains the following mixture of colored marbles: 2 black, 1 red, 4 yellow, and 2 green. If two marbles are drawn, the second being drawn after the first is replaced, then what is the Probability that both are yellow? 
A) $\frac { 1 } { 72 }$
B) $\frac { 1 } { 6 }$
C) $\frac { 16 } { 81 }$
D) $\frac { 4 } { 27 }$

Quizplus · Accepted Answer

The probability of drawing a yellow marble is $\frac{4}{9}$ (since there are 4 yellow marbles out of 9 total marbles). Since the first marble is replaced before drawing the second, the probability of drawing a yellow marble twice in a row is $\frac{4}{9} \times \frac{4}{9} = \frac{16}{81}$.

Find the Requested Probability 172\frac { 1 } { 72 }721​

Find the Requested Probability $\frac { 1 } { 72 }$