Mastercard Interview Question | Probability

Question

Let’s say you’re playing a dice game. You have 2 die. What’s the probability of rolling at least one 3?

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Dhruv2301 55 years 4 Answers 926 views Great Grand Master 0

Answers ( 4 )

  1. Answer is 11/36 !
    The problem is to get the probability of getting 3 on both dice !!
    The probability of not getting 3 on first die is 5/6 , similarly on second die is 5/6
    so 5/6 x 5/6 = 25/36 is the chance of not rolling a three on a pair of dice
    Hence there must be 11/36 chance of getting atleast one 3.

  2. The probability of at least problems is separated into two parts, We need to subtract the two conditions
    1. The Probability of getting everything = 1
    2. The Probability of not getting that particular digit i.e Probability of not Getting 3 on both the dices are 5/6*5/6 =25/36

    The Probability of getting at least one 3 = 1-(25/36) = 11/36

    0

    Probability of not Getting 3 on both the dices are 5/6*5/6 =25/36

    The Probability of getting at least one 3 = 1-(25/36) = 11/36

  3. At least one 3:
    (1,3) (2,3) (4,3) (5,3) (6,3)
    (3,1) (3,2) (4,3) (5,3) (6,3)
    (3,3)
    Total possibilities of at least one 3 = 11
    Total samples in 2 die = 36

    so, 11/36

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