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At a bridal store, 73% of customers buy a wedding dress . Only 52% of customers get a wedding dress and get a veil. What is the probability that a customer who gets a wedding dress also gets a veil? Round your answer to the nearest tenth of a percent.

Answer :

Poltergeist

Answer:

71.2%

Step-by-step explanation:

The probability of events A and B happening together is

[tex]P(A \:and\: B ) = P(A)*P(B\vert A)[/tex]

Now, the event A is costumers buying a wedding dress and its probability is

[tex]P(A)= 73\%[/tex].

And the probability that a costumer gets a wedding dress AND a veil is

[tex]P(A \:and\: B ) = 52\%[/tex]

Therefore, the probability [tex]P(B\vert A)[/tex] that a costumer who gets a wedding dress also gets a veil is

[tex]P(B\vert A) = \dfrac{P(A \:and\: B )}{P(A)} )[/tex]

[tex]P(B\vert A) = \dfrac{52\% }{73\%}[/tex]

[tex]\boxed{P(B\vert A) = 71.2\%}[/tex]

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