A multiple-choice question has five answer options of which two options are correct. What is the probability of randomly choosing the correct pair of answer options? The probability of choosing the correct pair of answer options is .

To answer this question, we take the probability of choosing one correct answer, and multiply it by the The probability of choosing the correct pair of answer options probability of choosing the other correct option, given that we answered the first one correctly. 

Probability of choosing one correct response: (2 correct options, 5 choices)
2/5
Once we've chosen one correct response, there are 4 options left, one of which is correct: 
1/4
2/5 * 1/4 = 2/20 = 1/10


The probability of choosing the correct pair of answer options is
1/10, or 10%