Final answer:
The probability of drawing a black marble and then a gray marble is 1/40.
Step-by-step explanation:
The subject of this question is Mathematics and the grade level is Middle School.
To find the probability of drawing a black marble and then a gray marble, we need to consider the total number of marbles and the number of black and gray marbles in the jar. After the black marble is removed and replaced, the probabilities remain the same for the second draw.
The probability of drawing a black marble and then a gray marble can be calculated as: (5/20) * (2/20) = 1/40. So, the probability is 1/40.