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Question

Question: The probability of getting a total of 5 or 6 in a single throw of 2 dice is...

The probability of getting a total of 5 or 6 in a single throw of 2 dice is

A

12\frac { 1 } { 2 }

B

14\frac { 1 } { 4 }

C

13\frac { 1 } { 3 }

D

16\frac { 1 } { 6 }

Answer

14\frac { 1 } { 4 }

Explanation

Solution

Total number of ways =36= 36

Favourable numbers of cases are (14),(2,3),(3,2)( 14 ) , ( 2,3 ) , ( 3,2 ) (4,1),(1,5),(2,4),(3,3),(4,2),(5,1)=9( 4,1 ) , ( 1,5 ) , ( 2,4 ) , ( 3,3 ) , ( 4,2 ) , ( 5,1 ) = 9

Hence the required probability =936=14= \frac { 9 } { 36 } = \frac { 1 } { 4 }