Moonfrog Interview Questions | Probablity

Question

What is the probability of getting 2 numbers whose products are even when two dices were thrown?

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Dhruv2301 4 years 2 Answers 794 views Great Grand Master 0

Answers ( 2 )

  1. swap007
    1
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    Products are even in 2 cases.
    1) When even is multiplied by even.
    2) When odd is multiplied by even.
    so, the total no of such cases are
    (1,2),(1,4),(1,6)
    (2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
    (3,2),(3,4),(3,6)
    (4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
    (5,2),(5,4),(5,6)
    (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

    so, 27/36 = 3/4

  2. Priyabrata017
    0
    Reply

    We know the product will be odd if and only if both the numbers in the dice are odd. In all other cases (odd,even), (even,odd), (even,even) the product will be even. Now,
    The probability that the product will be even= 1 – probability that both the numbers will be odd

    The probability that both the numbers will be odd= 3/6 * 3/6 =9/36
    Hence the req probability=1- 9/36 = 27/36

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