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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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A group of hikers buys 8 bags of mixed nuts. Each bag contains 3 and 1/2 cups of mixed nuts. the mixed nuts are shared evenly am
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Answer:

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Step-by-step explanation:

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It takes 2 3/4 gallons of water to fill up 3 1/3 containers.How much water woud it take to fill 4 containers.
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Step-by-step explanation:

(2 3/4)/x = (3 1/3)/4

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3 0
3 years ago
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Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian
Sergio039 [100]
The answer is 0.24

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied. Here we have two events:

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2. The probability that the alternate will be a girl.


So, let's calculate these probabilities:

There are in total 5 children:

2 boys + 3 girls = 5 children.

1. The probability that the pianist will be a boy is 2 boys out of 5 children, which is 2/5.

2. The probability that the alternate will be a girl is 3 girls out of 5 children, which is 3/5.


<span>The probability that the pianist will be a boy and the alternate will be a girl is:</span>

<span>2/5 </span><span>× 3/5 = 6/25</span>

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Write 3/100 as a decimal​
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Answer:

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There are two 0s so it is 0.03

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