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Of the 69 people who answered "yes" to a question, 10 were male. Of the 64 people who answered "no" to the question, 13 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male? Round to the nearest thousandth when necessary.

Respuesta :

Answer: Our required probability is 0.767.

Step-by-step explanation:

Since we have given that

If Total number of people  who answered 'yes' = 69

Number of male who answered 'yes' = 10

If total number of people who answered 'no' = 64

Number of male who answered 'no' = 13

Total number of people = 69+64=133

Probability of getting the person who answered 'yes' is given by

[tex]\dfrac{69}{133}[/tex]

Probability of getting the person who were male is given by

[tex]\dfrac{10+13}{133}\\\\=\dfrac{23}{133}[/tex]

We need to find the Probability that the person answered 'yes' or was 'male' is given by

[tex]\dfrac{69}{133}+\dfrac{33}{133}\\\\=\dfrac{69+33}{133}\\\\=\dfrac{102}{133}\\\\=0.767[/tex]

Hence, our required probability is 0.767.

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