Latest TCS Aptitude Question SOLUTION: In the set{1,2,3,4,5} any 3 random number choosen can be same numbers wat is the probability so tat a*b+c is even

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In the set{1,2,3,4,5} any 3 random number choosen can be same numbers wat is the probability so tat a*b+c is even

Asked In TCS anitha (11 years ago)

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vaishnavi  (11 years ago)

given set is 1,2,3,4,5
our aim is to find probability so that a*b+c should be even
a*b+c gives even number when two odd numbers is added
i.e, odd no+odd no gives even no.
and even no + even no gives even no
so lets consider case1:odd+odd=even (a*b) is odd and c is odd
now a*b gives a odd no when a and b are odd no.
probability of odd number from given set=3 by 5
so case1 gives the prob as (3 by 5)*(3 by 5)*(3 by 5)=(27 by 125)........1

case2: even+even=even
prob of even no from the set=2 by 5
a*b is even and c is even (three cases are possible)
a(odd) b(even) c(even)= (3 by 5)*(2 by 5)*(2 by 5)and
a(even) b(odd) c(even)= (2 by 5)*(3 by 5)*(2 by 5)and
a(even) b(even) c(even) = (2 by 5)*(2 by 5)*(2 by 5).
so totally (27+12+12+8)by 125......ans

Is this solution Helpfull? Yes (35) | No (1)  

kishore   (11 years ago)

59/125....

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venkatrao  (11 years ago)

ans=59/125

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AMITA DOKHALE  (11 years ago)

even+even=even
odd+odd=odd
(2*2+2)=6
(3*3+3)=12 des r choices
total ways of selecting=5*5*5=125
total ways =18/125

Is this solution Helpfull? Yes (1) | No (13)  

Pawan Ahuja  (11 years ago)

ans is 47/125

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