A bag contains 1 red marble, 1 blue marble, 1 green marble, 1 black and 1 white marble. What is the probability of drawing 1 red marble, replacing it, and then drawing a red marble again?
A) $\frac { 1 } { 9 }$
B) $\frac { 1 } { 25 }$
C) $\frac { 1 } { 16 }$
D) $\frac { 1 } { 4 }$
E) $\frac { 1 } { 17 }$

Question

A bag contains 1 red marble, 1 blue marble, 1 green marble, 1 black and 1 white marble. What is the probability of drawing 1 red marble, replacing it, and then drawing a red marble again?
A) $\frac { 1 } { 9 }$
B) $\frac { 1 } { 25 }$
C) $\frac { 1 } { 16 }$
D) $\frac { 1 } { 4 }$
E) $\frac { 1 } { 17 }$

Quizplus · Accepted Answer

Since we are replacing the marble after the first draw, the probability of drawing a red marble on the first draw is $\frac{1}{5}$. After replacing the marble, the probability of drawing a red marble on the second draw is again $\frac{1}{5}$. Using the multiplication rule of probability, we multiply the probabilities of the two events occurring: $\frac{1}{5} 	imes \frac{1}{5} = \frac{1}{25}$. Therefore, the answer is (B).

A Bag Contains 1 Red Marble, 1 Blue Marble, 1 Green Marble, 1 Black and 1 White Marble 19\frac { 1 } { 9 }91​

A Bag Contains 1 Red Marble, 1 Blue Marble, 1 Green Marble, 1 Black and 1 White Marble $\frac { 1 } { 9 }$