A bag contains 4 red marbles, 3 blue marbles, and 6 green marbles. If two marbles are drawn out of the bag, what is the probability, of the nearest 1000th, that both marbles will be red?

Answer 1

There are a total of 13 marbles in the bag. The probability of drawing a red marble on the first try is 4/13. After one red marble is drawn, there will be 3 red marbles left out of 12 total marbles. Therefore, the probability of drawing a second red marble is 3/12 (since one marble has already been drawn and removed).

To find the probability of both events happening (drawing two red marbles in a row), you multiply the probabilities together:

(4/13) x (3/12) = 1/13

So the probability of drawing two red marbles out of the bag is 1/13, or approximately 0.077 to the nearest 1000th.