To calculate the probability, we need to determine the number of favorable outcomes (getting 8 coins that are 1913 liberty be Nichols) and the total number of possible outcomes (selecting any 8 coins from the bag).
The number of favorable outcomes can be calculated by selecting 8 coins from the 50 that are 1913 liberty be Nichols. This can be represented as "50 choose 8" or written as C(50, 8). Using the combination formula, this can be calculated as:
C(50, 8) = 50! / (8! * (50-8)!)
The total number of possible outcomes is selecting any 8 coins from the 20 in the bag. This can be represented as "20 choose 8" or written as C(20, 8). Using the combination formula, this can be calculated as:
C(20, 8) = 20! / (8! * (20-8)!)
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = (C(50, 8)) / (C(20, 8))
Calculating these combinations and dividing them will give you the probability that the man gets 8 coins that are 1913 liberty be Nichols when randomly selecting from the bag.