Question

A study was done about people that watch the Superbowl and World Series.Did watch theWorld SeriesMaleFemaleDid not watch the WorldSeries57436436What is the probability that a person will watch the world series given they are male?

Answer 1

Given:

• Number of male that did not watch the world series =57

,

• Number of males that watched the world series = 64

,

• Number of females that did not watch the world series = 43

,

• Number of females that watched the world series = 36

Let's find the probability that a person will watch the world series given they are male.

To find the probability, apply the formula:

`P(watch|male)=\frac{P(watch\text{ and male\rparen}}{P(male)}`

Where:

Total number = 57 + 64 + 43 + 36 = 200

Thus, we have:

`\begin{gathered} P(watch\text{ and male\rparen =}\frac{Number\text{ of males who watched}}{total\text{ number}}=(64)/(200)=(8)/(25) \\ \\ \\ P(male)=\frac{total\text{ males}}{total\text{ number of people}}=(57+64)/(200)=(123)/(200) \end{gathered}`

Hence, the probability will be:

`\begin{gathered} P(watch|male)=((8)/(25))/((123)/(200)) \\ \\ P(watch|male)=(8)/(25)*(200)/(123) \\ \\ P(watch|male)=(64)/(123) \end{gathered}`

Therefore, the probability that a person will watch the world series given they are male is 64/123.

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