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? asked in Science & MathematicsMathematics · 6 days ago

statistics probability?

Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 17 of the 57 boxes on the shelf have the secret decoder ring. The other 40 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?

(Give answer as a decimal correct to at least three decimal places.) Please help

2 Answers

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  • fcas80
    Lv 7
    6 days ago

    (17/57)*(16/56) = .08521303258

  • The Gnostic
    Lv 7
    6 days ago

    The probability that your first choice has a secret decoder ring is 17/57.

    The probability that your second choice has another ring, assuming the first box did, is 16/56. (16, because that's 17 minus the one you got)

    Multiplied that's 17/57 × 16/56 ≈ 0.0852

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