Question

A true or false test has five questions if you guess the answers what is the probability that you will get all five correct?

Answer 1

You have two outcomes in a true or false test - you can choose option "true" or option "false". The probabolity to guess correct answer for one question is 1/2.

Use the product rule to count the probability getting all five correct answers:

`Pr=(1)/(2) \cdot (1)/(2) \cdot (1)/(2) \cdot (1)/(2) \cdot (1)/(2)=(1)/(32)`.

Answer: The probability that you will get all five correct answers is
`Pr=(1)/(32)`.