A bag of marbles contains 3 yellow, 6 blue, 1 green, 8 red, 2 orange. Find the probability: P(yellow, then orange WITHOUT replacement)

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Question:

A bag of marbles contains 3 yellow, 6 blue, 1 green, 8 red, 2 orange. Find the probability: P(yellow, then orange WITHOUT replacement)

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Answer:P(yellow, then orange WITHOUT replacement) = 0.0158Step-by-step explanation:A probability is the number of desired outcomes divided by the number of total outcomesThis problem asks:The probability of first getting a yellow marble, then an orange marble, without replacemtn.Yellow marble first:3 yellow marbles out of 3+6+1+8+2 = 20 marbles.So P(a) = 3/20.Then the orange marble:Now the yellow marble is retired.2 orange marbles out of 19.So P(b) = 2/19Probability:P(yellow, then orange WITHOUT replacement) = P(a)P(b) = (3/20)*(2/19) = 0.0158

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