Question

(07.01 MC)

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 over 38 multiplied by 8 over 37 equal 72 over 1406
9 over 38 plus 8 over 37 equal 637 over 1406
9 over 38 plus 9 over 38 equal 684 over 1444
9 over 38 multiplied by 9 over 38 equal 81 over 1444

Answer 1

Take the first draw

The probability of getting a grey is (# of grey marble) / (total # of marbles)

She replaces it, so the second probability of getting a grey is the same as the first

Multiply the two probabilities together