: A store has 15 cars of a certain brand. Among them, 7 are black, 6 are gray and 2 are white. Another store wishes to buy 3 cars of this brand, no matter what color. Let X be the number of sold black cars. Find the probability function of X?

Respuesta :

Answer:

Probability of function ' x ' is [tex]\frac{1}{13}[/tex]

Step-by-step explanation:

Store - 1

Total number of car = 15.

The number of

Black car = 7.

Grey car = 6.

White car = 2.

Store -2

The number of car wishes to buy = 3 car.

The number of black car sold = x .

The probability of 'x' = ?.

P ( x ) = P ( first black ) * P ( second black ) * P ( third is black )

P ( x ) = [tex]\frac{7}{15} *\frac{6}{14} *\frac{5}{13}[/tex]    = [tex]\frac{1}{13}[/tex]

So the probability of number of car sold is black or P ( x ) = [tex]\frac{1}{13}[/tex]

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