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
710
Start Fraction 7 over 10 End Fraction
12
Start Fraction 1 over 2 End Fraction
110

1 answer

Start Fraction 2 over 5 End Fraction

Explanation:

Probability of choosing a gel pen = 10/20 = 1/2
Probability of choosing a fountain pen = 4/20 = 1/5

Since the pens are replaced after each selection, the probabilities are independent and we can multiply them:

Probability of choosing a gel pen and then a fountain pen = (1/2) * (1/5) = 1/10 = Start Fraction 2 over 5 End Fraction