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Let a pair of dice be thrown and the ra...

Let a pair of dice be thrown and the random variable `X` be the sum of the numbers that appear on the two dice. Find the mean or expectation of `X`.

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To find the mean or expectation of the random variable \( X \), which represents the sum of the numbers appearing on two thrown dice, we can follow these steps: ### Step 1: Identify the Sample Space When two dice are thrown, each die has 6 faces. Therefore, the total number of outcomes when throwing two dice is: \[ 6 \times 6 = 36 \] ...
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Knowledge Check

  • If four dice are thrown together. Probability that the sum of the number appearing on them is 13, is

    A
    `(35)/(324)`
    B
    `(5)/(216)`
    C
    `(11)/(216)`
    D
    `(11)/(432)`
  • Three dice are thrown together. The probability that the sum of the numbers appearing on them is 9, is

    A
    `(7)/(216)`
    B
    `(47)/(54)`
    C
    `(7)/(54)`
    D
    `(7)/(9)`
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