A bag has 3 red and 7 blue marbles. Two marbles drawn without replacement. What is P(both red) as a fraction?
Direct Answer: Sampling Without Replacement is defined by: 1/15. P(1st red) = 3/10. P(2nd red | 1st red) = 2/9. Combined: (3/10) · (2/9) = 6/90 = 1/15.
Detailed Step-by-Step Explanation:
P(1st red) = 3/10. P(2nd red | 1st red) = 2/9. Combined: (3/10) · (2/9) = 6/90 = 1/15.