GATE EE 2014 Set 2 — Question 12
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Question
Consider a dice with the property that the probability of a face with dots showing up is proportional to . The probability of the face with three dots showing up is ________.
Correct answer
0.13 to 0.15
Solution
Let the probability of face showing up be .
Given that , we can write for some constant .
For a standard six-sided dice, the sum of probabilities of all possible outcomes must be 1:The probability of the face with three dots showing up is:Calculating the decimal value:The answer lies within the range . Official answer key specifies the range 0.13 to 0.15.
Given that , we can write for some constant .
For a standard six-sided dice, the sum of probabilities of all possible outcomes must be 1:The probability of the face with three dots showing up is:Calculating the decimal value:The answer lies within the range . Official answer key specifies the range 0.13 to 0.15.
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