contestada

In the United States, 51% of all children get an allowance and 34% of all children get an allowance and do household chores. What is the probability that a child does household chores given that the child gets an allowance?33.33%66.67%50%100%

Respuesta :

The conditional probability of event B happening given that event A happened is given by:

[tex]P(B\vert A)=\frac{P(A\cap B)}{P(A)}[/tex]

Let A be the event "children get allowance and let B be the event "children do houshold chores". From the information given we have that:

[tex]P(A)=.51[/tex]

and

[tex]P(A\cap B)=.34[/tex]

Then the probability that a child does household chores given that it gets allowance is:

[tex]\begin{gathered} P(B\vert A)=\frac{.34}{.51} \\ =0.6667 \end{gathered}[/tex]

Therefore the probability 66.67%

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