Answer:
1/5
Explanation:
Total Number of Marbles in the bag = 15
The probability of randomly selecting a green marble is 1/3
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble = 1/15
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is calculated as
The probability of randomly selecting a green marble × The probability of randomly selecting a red marble
Hence:
1/15 = 1/3 × R
1/15 = R/3
Cross Multiply
R × 15 = 1 × 3
R= 3/15
R= 1/5
Hence, the probability of randomly selecting a red marble is 1/5