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a jar contains 12 white , 24 gray and 14 black marbles a marble is drawn at random find p(not gray)

Sagot :

SOLUTION

Notice that the total number of marbles are

[tex]12+24+14=50[/tex]

The probability of not grey means it could be white or black

Hence

P(not grey) = P(white or black)

Since there are 12 whites and 14 blacks the the P(white or black) is

[tex]\begin{gathered} P(WorB)=\frac{12}{50}+\frac{14}{50} \\ P(WorB)=\frac{26}{50} \\ P(WorB)=\frac{13}{25} \end{gathered}[/tex]

Therefore the P(not gray) is:

[tex]P(not\text{ gray\rparen=}\frac{13}{25}[/tex]

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