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A bag contains 6 red marbles, 10 green marbles, and 4 yellow marbles. You randomly pick a marble. What is the probability that it is a red or yellow? Write your answer as a reduced fraction (numerator/denominator).

Sagot :

Red marbles = 6

Green marbles = 10

Yellow marbles = 4

Total marbles in the bag = 20

The probability of picking a red or a yellow marble is;

[tex]\begin{gathered} Pr(\text{red or yellow)=Pr(picking red)}+Pr(\text{ picking yellow)} \\ Pr(\text{ picking red) = }\frac{n(red\text{ marbles)}}{total\text{ marbles}} \\ Pr(\text{ picking red) =}\frac{6}{20} \\ Pr(\text{ picking yellow)=}\frac{4}{20} \end{gathered}[/tex][tex]\begin{gathered} Pr(\text{ picking red or yellow)=}\frac{6}{20}+\frac{4}{20}=\frac{10}{20} \\ Pr(\text{ picking red or yellow)=}\frac{1}{2} \end{gathered}[/tex]

The probability of picking a red or yellow marble is 1/2