Question

The red face cards and the black cards numbered 4-9 are put into a bag. Two cards are drawn at random without replacement. Find the following probabilities.

Answer 1

The probability that Mark draws a yellow marble and then a green marble is 1/9.

Step-by-step explanation:

To find the probability that Mark draws a yellow marble and then a green marble, we need to consider the total number of marbles and the number of yellow and green marbles.

Step 1: Calculate the probability of drawing a yellow marble first. There are 2 yellow marbles out of a total of 9 marbles, so the probability is 2/9.

Step 2: Calculate the probability of drawing a green marble second. After drawing the yellow marble, there are 4 green marbles left out of a total of 8 marbles. So the probability is 4/8.

Step 3: Multiply the probabilities from Step 1 and Step 2 to get the overall probability. (2/9) * (4/8) = 8/72 = 1/9.