Latest Infosys Aptitude Question SOLUTION: If 3 dices are rolled and a,b,c is obtained what is the probbability that a*b+c is even?

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If 3 dices are rolled and a,b,c is obtained what is the probbability that a*b+c is even?

Asked In Infosys asxa asxaxax (10 years ago)

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Prateek mishra  (10 years ago)

1/2
outcome of a*b+c=even is
1) even+even
2)odd +odd

for 1) to happen i.e even+even
a*b= even and c=even
a*b =even has two case a) even*even and b)odd*even
hence a*b+c=even has 3 cases

a)a=even b=even c=even prob=1/8
b) a=odd b=even c=even///prob=1/8
c)a=even b=add c=even prob =1/8
total here =3/8

2) second case is
a*b+c=even
a*b is odd and c=odd
for a*b=odd only one case,
a=odd b=odd
hence this case is
a=odd b=odd and c=odd
prob=1/8

hence total prob= 3/8+1/8=4/8=1/2

Is this solution Helpfull? Yes (9) | No (1)  

Dushyant Shukla  (10 years ago)

case 1: a,b,c is even
case 2: a is odd, b&c is even
case 3: a&c is even,b is odd
case 4:a,b,c is odd.

each case will have 27 outcomes
therefore, P=(27*4)/216
P=1/2

Is this solution Helpfull? Yes (7) | No (1)  

Koushik Kanrar  (10 years ago)

probability=3/8

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rohit kalita  (10 years ago)

the possibilities are either "both a*b and c" are odd or "both a*b and c" are even. Taking this into account I got the ans to be 135/216 ie. 5/8

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ramu vedula  (10 years ago)

@rohit kalita :explain it clearly........

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