A desk drawer has 20 pens: 4 fountain pens, 10 gel pens, and 6 ballpoint pens. What is the probability of randomly choosing a gel pen, replacing it, and then choosing a fountain pen?(1 point)
Responses
15
Start Fraction 1 over 5 End Fraction
12
Start Fraction 1 over 2 End Fraction
710
Start Fraction 7 over 10 End Fraction
110
Start Fraction 1 over 10 End Fraction
The probability of randomly choosing a gel pen is 10/20 = 1/2. Since the pen is replaced before the second pick, the probability of choosing a fountain pen is 4/20 = 1/5.
Therefore, the probability of randomly choosing a gel pen and then a fountain pen is (1/2) * (1/5) = 1/10 = 1/10.
So the correct response is:
110
Start Fraction 1 over 10 End Fraction