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

12
Start Fraction 1 over 2 End Fraction

710
Start Fraction 7 over 10 End Fraction

15
Start Fraction 1 over 5 End Fraction

110

1 answer

The probability of randomly choosing a gel pen is 10/20 or 1/2. Since the pen is replaced before choosing again, this probability remains the same. The probability of then choosing a fountain pen from the remaining pens is 4/20 or 1/5.

Therefore, the overall probability of randomly choosing a gel pen and then a fountain pen is (1/2)*(1/5) = 1/10 = 1/10.

So the answer is 1/10.