Answer:
The probability that Nancy draws the letter B from one box and the number 2 from the other box is:

Step-by-step explanation:
We know that the probability of drawing a slip of paper from one box is independent of drawing a piece of slip from the other.
Let first box contain five slips of paper, each with one of the letters A, B, C, D, or E written on it.
This means that the probability of drawing B is:
ratio of the number of slips containing B to the total number of slips.
i.e.

Second box has four slips of paper, each with one of the numbers 1, 2, 3, or 4 written on it.
This means that the probability of drawing number 2 is:
ratio of the number of slips containing number 2 to the total number of slips.
i.e.

Hence,

Hence, the probability is:
