Answer: The probability of drawing a blue marble and then a yellow marble is 1/12 or 0.0833.
Explanation:
There are 16 marbles in the bag. To calculate the probability of drawing a blue marble and then a yellow marble, we can use the formula:
P(blue and yellow) = P(blue) x P(yellow|blue)
The probability of drawing a blue marble on the first draw is 5/16. After one blue marble has been drawn, there are 15 marbles left in the bag, so the probability of drawing a yellow marble on the second draw, given that the first marble was blue, is 4/15.
P(blue and yellow) = (5/16) x (4/15) = 1/12 or 0.0833