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Ajay and Suresh are playing a game of dice. Suresh, being the evil one, loaded the dice in such a way that the probability of getting any number n is n times the probability of showing up of 1 when the dice is rolled. The rules of the games are such that for every time an odd number shows up, Ajay scores a point, otherwise the point goes to Suresh. What is the probability of Ajay scoring a point at any single roll?
  • a)
    2/7
  • b)
    3/7
  • c)
    4/7
  • d)
    5/7
  • e)
    6/7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Ajay and Suresh are playing a game of dice. Suresh, being the evil one...
If the probability of getting 1 = P(1) = x, then as per the conditions of loading of the dice, P(2) = 2x, P(3) = 3x and so on.
Now, since getting the numbers 1 or 2 or... or 6 are mutually exclusive and collectively exhaustive events, the sum of all their probabilities will be 1. 
Hence, option 2.
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Most Upvoted Answer
Ajay and Suresh are playing a game of dice. Suresh, being the evil one...
If the probability of getting 1 = P(1) = x, then as per the conditions of loading of the dice, P(2) = 2x, P(3) = 3x and so on.
Now, since getting the numbers 1 or 2 or... or 6 are mutually exclusive and collectively exhaustive events, the sum of all their probabilities will be 1. 
Hence, option 2.
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Community Answer
Ajay and Suresh are playing a game of dice. Suresh, being the evil one...
If Ajay has to score point it must be 1 or 3 or 5 .
let x be probability of 1. it means probability of 2 is 2x, 3 is 3x . so probability of odd is x+ 3x+ 5x / x+ 2x +3x+ 4x+ 5x +6x = 3/7.
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Ajay and Suresh are playing a game of dice. Suresh, being the evil one, loaded the dice in such a way that the probability of getting any number n is n times the probability of showing up of 1 when the dice is rolled. The rules of the games are such that for every time an odd number shows up, Ajay scores a point, otherwise the point goes to Suresh. What is the probability of Ajay scoring a point at any single roll?a)2/7b)3/7c)4/7d)5/7e)6/7Correct answer is option 'B'. Can you explain this answer?
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