Question

there are 6 green cards 9 orange cards n 5 red cards in a stack of cards turned facedown. once a card is selected it is not replaced find the probability of drawing an orange card followed by a red card

Answer 1

Answer: 9/76

Step-by-step explanation

9 orange out of 6+9+5 = 20 cards total

9/20 = probability of selecting orange

After that card is chosen, it is not put back. We have 5 red cards out of 20-1 = 19 left over. The fraction 5/19 is the probability of selecting red on the 2nd draw given that orange was selected on the 1st draw, and no replacement was made.

Multiply the two fractions to get the answer.

(9/20)*(5/19)

= (9*5)/(20*19)

= (9*5)/(5*4*19)

= (9)/(4*19)

= 9/76 is the final answer as a fraction.

Side note:

9/76 = 0.11842 = 11.842% approximately