Question

A jar contains 4 blue buttons, 10 red buttons, 2 yellow buttons, and 4 black buttons. You draw a button at random from the jar. You replace the first button and draw another. What is the probability that you draw a red button and then a yellow button?

Answer 1

The probability of drawing a red button and then a yellow button is 1/20.

Step-by-step explanation:

To find the probability of drawing a red button and then a yellow button, we need to consider the total number of buttons and the number of red and yellow buttons.

The total number of buttons in the jar is 4 + 10 + 2 + 4 = 20. The probability of drawing a red button on the first draw is 10/20 = 1/2.

After replacing the red button, the total number of buttons remains the same.

Therefore, the probability of drawing a yellow button on the second draw is also 2/20 = 1/10.

To find the overall probability, we multiply the probabilities of the individual events. So the probability of drawing a red button and then a yellow button is (1/2) * (1/10) = 1/20.