Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick you two red pencils?
A. 6/25
B. 1/3
C. 9/25
D. 2/5
There are a total of 10 pencils in the jar. If Dalia picks a red pencil first, there will be 5 red pencils and 4 green pencils left. The probability of picking another red pencil then becomes 5/9. If Dalia picks a green pencil first, there will be 6 red pencils and 3 green pencils left. The probability of picking a red pencil next is 6/9 (since there are 9 pencils left in the jar). Therefore, the probability of picking two red pencils is:
(6/10) x (5/9) + (4/10) x (6/9) = 30/90 + 24/90 = 54/90 = 6/10 = 3/5
Answer: D. 2/5 (incorrect)
Correct Answer: D. 3/5