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

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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:

[tex] Pr=\dfrac{1}{2} \cdot \dfrac{1}{2} \cdot \dfrac{1}{2} \cdot \dfrac{1}{2} \cdot \dfrac{1}{2}=\dfrac{1}{32} [/tex].

Answer: The probability that you will get all five correct answers is [tex] Pr=\dfrac{1}{32} [/tex].