Find the requested probability.
-A box contains the following mixture of colored marbles: 2 black, 3 red, 5 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 black?
A) $\frac { 1 } { 66 }$
B) $\frac { 1 } { 36 }$
C) $\frac { 1 } { 72 }$
D) $\frac { 1 } { 132 }$

Question

Find the requested probability.
-A box contains the following mixture of colored marbles: 2 black, 3 red, 5 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 black? 
A) $\frac { 1 } { 66 }$
B) $\frac { 1 } { 36 }$
C) $\frac { 1 } { 72 }$
D) $\frac { 1 } { 132 }$

Quizplus · Accepted Answer

The probability of drawing a black marble is $\frac{2}{12}$ or $\frac{1}{6}$ since there are 2 black marbles out of a total of 12. Since the first marble is replaced, the probability of drawing a black marble again on the second draw is also $\frac{1}{6}$. Therefore, the probability of both events happening is $\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$.

Find the Requested Probability 166\frac { 1 } { 66 }661​

Find the Requested Probability $\frac { 1 } { 66 }$