Ask your has 20 pins for fountain pens 20 gel pens and six ball point pants what is the probability of randomly choosing a gel pen replacing it and then choosing a fountain pen
To calculate the probability of randomly choosing a gel pen, replacing it, and then choosing a fountain pen, we first calculate the total number of pens, which is 20 (gel pens) + 20 (fountain pens) + 6 (ballpoint pens) = 46 pens in total.
The probability of randomly choosing a gel pen on the first draw is 20/46 = 10/23.
Since the gel pen is replaced before the second draw, the total number of pens remains 46.
The probability of randomly choosing a fountain pen on the second draw is 20/46 = 10/23.
Therefore, the probability of randomly choosing a gel pen and then a fountain pen is (10/23) * (10/23) = 100/529 or approximately 0.189 or 18.9%.