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Two dice are thrown together. Find the probability that the sum of the numbers on their uppermost faces is a perfect square or divisible by 4.

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a
1236
b
1336
c
1536
d
1636

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detailed solution

Correct option is B

The probability of an event E occurring is the ratio of the number of cases in its favour to the total number of equally likely cases.

P(E)=n(E)n(S)= no. of cases favourable to event E Total no. of cases 

Two fair dice thrown

so total cases =6×6=36

and perfect square or divisible by 4 that mean that sum should be equal to =4,8,9,12

for getting 4=(1,3) ;(2,2) ;(3,1)

for getting 8=(2,6) ;(3,5) ;(4,4) ;(5,3) ;(6,2)

for getting 9=(3,6) ;(4,5) ;(5,4) ;(6,3)

for getting 12=(6,6)

so total cases =3+5+4+1=13

so, probability =1336

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