Question

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?

Answer 1

The probability that the first card will be red= red cards / total cards = 1/5 = 0.2

the probability that the first card will be blue = blue cards / total cards = 1/4 = 0.25


1/4 because the cards in the second drawn is 4, not 5 cards

Answer 2

$|\Omega|=5\cdot4=20\\ |A|=1\\\\ P(A)=\dfrac{1}{20}$