Law of Total Probability

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Gumballs in a gumball machine are available in three equally-likely colors: red, blue, or green. The gumballs also have two flavors: cherry or orange.

It is known that:

$30 \%$ of red gumballs have the cherry flavor.
$20 \%$ of blue gumballs have the cherry flavor.
$50 \%$ of green gumballs have the cherry flavor.

What is the probability that a randomly selected gumball has the orange flavor? Round your answer to $3$ decimal places.

$\mathbb{P}(Orange)=$

3. Probability: Probability

Law of Total Probability