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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Answers ( 4 )
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.
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
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
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