The theoretical probability of randomly getting a black counter is P = 2/5.
How to get the theoretical probability?
In this case, we have 8 black counters and 12 white counters, so there is a total of 20 counters.
We assume that all the counters have the same probability of being randomly selected, then the probability of randomly selecting a black counter is just given by the quotient between the number of black counters and the total number of counters.
There are 8 black counters and 20 in total, then the probability is given by:
P = 8/20
Now we can simplify that fraction to get:
P = 2/5
The theoretical probability of randomly getting a black counter is P = 2/5.
If you want to learn more about probability:
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