Find the indicated probability.
-A bag contains four chips of which one is red, one is blue, one is green, and one is yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes (for example RB represents the outcome red chip followed by blue chip)and use your list to determine the probability that the two chips selected are different colors.
(Hint: There are 16 possible outcomes.)
A) $\frac { 3 } { 8 }$

B) $\frac { 3 } { 4 }$

C) $\frac { 1 } { 2 }$

D) $\frac { 3 } { 16 }$

Question

Find the indicated probability.
-A bag contains four chips of which one is red, one is blue, one is green, and one is yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes (for example RB represents the outcome red chip followed by blue chip)and use your list to determine the probability that the two chips selected are different colors.
(Hint: There are 16 possible outcomes.) 
A) $\frac { 3 } { 8 }$

B) $\frac { 3 } { 4 }$

C) $\frac { 1 } { 2 }$

D) $\frac { 3 } { 16 }$

Quizplus · Accepted Answer

Since there are 16 possible outcomes and 12 of these involve selecting chips of different colors (each color can be followed by a chip of any of the three other colors, making 4*3=12 outcomes), the probability is $\frac{12}{16} = \frac{3}{4}$.

Find the Indicated Probability 38\frac { 3 } { 8 }83​

Find the Indicated Probability $\frac { 3 } { 8 }$