Find the probability that a randomly selected person
from this sample liked recreational reading OR
disliked recreational reading.
P (likes recreational OR disliked recreational) =

The probability that a randomly selected person  from this sample liked recreational reading or disliked recreational reading is 1.

Step-by-step explanation:

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

Mutually exclusive events are those events which cannot occur together. They are also known as disjoint events.

If events A and B are mutually exclusive then:

The data provided is:

Opinion                      Like academic     Dislike academic      Total

                                          reading              reading

Liked recreational                   136                      40                      176

reading

Disliked recreational                16                        8                        24

reading

Total                                       152                      48                      200

Denote the events as follows:

X = a person liked recreational reading.

Y = a person disliked recreational reading.

Compute the probability that a randomly selected person  from this sample liked recreational reading or disliked recreational reading as follows:

Thus, the probability that a randomly selected person  from this sample liked recreational reading or disliked recreational reading is 1.