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Contact [7]
3 years ago
12

Find the probability that a randomly selected person

Mathematics
1 answer:
Inga [223]3 years ago
7 0

Answer:

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 <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

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

If events <em>A</em> and <em>B</em> are mutually exclusive then:

P(A\cap B)=0

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:

<em>X</em> = a person liked recreational reading.

<em>Y</em> = 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:

P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)

                =\frac{176}{200}+\frac{24}{200}-0\\\\=\frac{176+24}{200}\\\\=1

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

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