Since each question only has two outcome, which is yes/no. A five question true/false quiz is consist of five true/false factors.
True/false can be simulated as 1/2, or half the change of being correct.
Now if you put 1/2 to it’s fifth power, or (1/2)^5, since there are five questions.
The chances of getting ALL FIVE questions right is 1/32, now if you want to have two questions correct, which is 2/5 of the probability, then we would only need to raise the power to 3, since you we’re considering the other three would be definitely wrong
(1/2)^3 = 1/8
In result, the probability of getting 2 out of 5 questions correct is 1/8
