Latest TCS Aptitude Question SOLUTION: 3 dice are rolled and a, b, c is obtained then what is the probability that a.b+c is even

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3 dice are rolled and a, b, c is obtained then what is the probability that a.b+c is even

Asked In TCS SH (10 years ago)

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Manish kumar sah  (10 years ago)

a.b+c is even only when all are odd or all are even or c is even and either a or b is odd.
when all are odd then total no of sample space=3*3*3=27
when all are even then total no of sample space=3*3*3=27
for third case 2*(3*3*3)=54
hence prob(a.b+c is even)=(27+27+54)/(6^3)=108/216=1/2

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rashi chauhan  (10 years ago)

answer is 1/2
probability=(3/6*9/36)+(3/6*27/36)=1/2
explaination:for value of c i.e 1,3,5 there are total 9 combinations for (a*b)which makes value even similarly,for 2,4,6 there are 27 combinations

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Arpit Varshney  (10 years ago)

PROB=(1/2*1/2*1/2)+(1/2*1/2*1/2)+(1/2*1/2*1/2)+(1/2*1/2*1/2)=4/8=1/2.

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Divya  (10 years ago)

i guess answer is 54/216

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chetan gupta  (10 years ago)

i think it is 4/7

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Rupinder Baidwan  (10 years ago)

i think its 3

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sriganesh  (10 years ago)

Total no of outcome when three dices rolled is 216,
the no event that is a.b+c=odd is 18
so the probability is 18/216/1/12

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Guru Pranav  (10 years ago)

nice question !!!

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