There are five different colored cards in a hat (red, blue, green, yellow, and black). a card is randomly drawn and not replaced. then a second card is drawn. what is the probability that the first card will be red and the second card will be blue?

4%
5%
20%
25%

Hi there!

First, for any of the five cards being drawn, there is a 1/5 chance, or 20%. So, the probability of a red card being drawn is 1/5. Then, since the card is not replaced, it becomes a 1/4, or 25%, chance of any card being drawn (besides red). So, the probability of a blue card being drawn is 1/4. So in order to find what the question is asking, we'll need to multiply the two fractions together.

1/5 x 1/4 = 1/20

1/20 = 5%

Therefore, the correct answer is 5%, or the second option.

Hope this helps!! :)