Two fair dice are thrown simultaneously. The probability of getting the sum of numbers shown on the dice is either divisible by 2 or divisible by 5, is
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Answer:
the answer is 2/3 .........
Given : Two fair dice are thrown simultaneously.
To Find : The probability of getting the sum of numbers shown on the dice is either divisible by 2 or divisible by 5,
Solution:
Two dice are thrown total possible out comes = 6 x 6 = 36
Sum is divisible by 2 or 5
Possible sum are are from 2 to 12
Divisible by 2 or 5 are
2 , 4 , 5 , 6 , 8 , 10 , 12
Total - sum 3 , 7 , 9 , 11
Sum 3 = { 1 , 2 } , { 2, 1}
Sum 7 = { 1 , 6 } { 2 , 5} , { 3 , 4} , { 4 , 3} , { 5 ,2 } , { 6 , 1}
Sum 9 = { 3 , 6 } { 4 , 5} , { 5 , 4} , { 6 , 3}
Sum 11 = { 5 ,6 } , { 6 , 5}
= 14 Cases
36 - 14 = 22
Probability of getting the sum of numbers shown on the dice is either divisible by 2 or divisible by 5 = 22/36
= 11/18
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