At a gas station, 84% of customers buy gasoline. Only 5% of customers buy gasoline and a beverage.What is the probability that a customer who buys gasoline also buys a beverage?

Respuesta :

 

The solution would be like this for this specific problem:

5%/84% = 5/84

The answer is 0.0595238095238095. And rounding our answer to he nearest tenth (percent), we’d be getting .060.

 

If you have any other questions, please don’t hesitate to ask me.

Answer:

0.06 or 6% probability

Step-by-step explanation:

At a gas station, 84% of customers buy gasoline

P (A) = [tex]\frac{84}{100}[/tex] = 0.84

5% of customers buy gasoline and a beverage

P (B) = [tex]\frac{5}{100}[/tex] = 0.05

Equation of conditional probability = P (A and B) = P(A) × P(B/A)

    =  P(B/A) = P (A and B) / P(A)

   = P ( B/A ) = [tex]\frac{0.05}{0.84}[/tex]

  = 0.0595 ≈  0.060 or 6%

The probability that a customer who buys gasoline also buys a beverage is 0.060 or 6%.