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A card from a pack of 52 playing card...

A card from a pack of 52 playing cards is lost. From the remaining cards  of the pack three cards are drawn at random (without replacement) and are found to be all spades. Find the probability of the lost card being a spade.

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AI Generated Solution

To solve the problem, we need to find the probability that the lost card is a spade given that three cards drawn from the remaining cards are all spades. We can use Bayes' theorem to find this probability. ### Step 1: Define Events Let: - \( A \): The event that the lost card is a spade. - \( B \): The event that three cards drawn are all spades. ### Step 2: Find Required Probabilities ...
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Knowledge Check

  • A card from a pack of 52 cards is lost.From the remaining cards of the pack,two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond.

    A
    `11/50`
    B
    `13/50`
    C
    `17/50`
    D
    `19/50`
  • A card from a pack of 52 cards is lost. From the remaining cards of pack, two cards are drawn and are found to be diamonds. Find the probability of the missing card to be diamond.

    A
    a. rs. 72
    B
    b. rs. 67.5
    C
    c. rs. 50
    D
    d. rs. 75
  • A card from a pack of 52 cards is lost. From the remaining cards of pack, two cards are drawn and are found to be diamonds. Find the probability of the missing card to be diamond.

    A
    `39/50`
    B
    `11/50`
    C
    `23/25`
    D
    `3/26`
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