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Question: The probability of a number ‘n’ showing in a throw of a dice marked 1 to 6 is proportional to n, the...

The probability of a number ‘n’ showing in a throw of a dice marked 1 to 6 is proportional to n, then probability of number ‘3’ showing in a throw is :

A

12\frac { 1 } { 2 }

B

16\frac { 1 } { 6 }

C

17\frac { 1 } { 7 }

D

None

Answer

17\frac { 1 } { 7 }

Explanation

Solution

6.72\frac { 6.7 } { 2 }= 1

Ž k = 121\frac { 1 } { 21 }

Now P(3) = 3k = 321\frac { 3 } { 21 } = 17\frac { 1 } { 7 }