Question

A section of an exam contains four True-False questions. A completed exam paper is selected at random, and the four answers are recorded. Assuming the outcomes to be equally likely, find the probability that all the answers are the same.

Answer 1

Answer:

The number of outcomes that all answers are the same is 2 , these are: {(FFFF) , (TTTT)}

The probability that all the answers are the same = 1/8

Step-by-step explanation:

See attachment for the number of likely outcomes = 16

16 equally likely outcomes are contained in the sample space .

The number of outcomes that all answers are the same is 2 , these are: {(FFFF) , (TTTT)}

So, P (all answers are the same) = 2/16

                                                   = 1/8