Question

HELP ASAP PLZ

Jane has 38 marbles of the same shape and size in a box. The colors and amounts of the marbles are shown below:

•14 white marbles
•9 gray marbles
•15 blue marbles

Without looking in the box, Jane takes out a marble at random. She then replaces the marble and takes out another marble from the box. What is the probability that Jane takes out a gray marble in both draws?


9/38x8/37 =72/1406
9/38+8/37 =637/1406
9/38+9/38 =684/1444
9/38x9/38 =81/1444

Answer 1

9/38 x 9 /38 =81/144 both of the events are indepent

Answer 2

The correct option is D. 9/38x9/38 =81/1444

Explanation:

Total number of marbles in the bag = 38

Number of white marbles in the bag = 14

Number of gray marbles in the bag = 9

Number of blue marbles in the bag = 15

We need to find the probability that Jane takes out a gray marble in both draws

`\text{Probability that Jane draws gray marble in first draw = }(9)/(38)`

Given that : Then Jane replaces the marble for the second draw

`\text{Probability that Jane draws gray marble in second draw = }(9)/(38)`

`\text{Probability that Jane draws gray marble in both draws = }(9)/(38)* (9)/(38)`

`\text{Probability that Jane draws gray marble in both draws = }(81)/(1444)`

Therefore, The correct option is D. 9/38x9/38 =81/1444