IIT JEE , AIEEE Forum - Mathematics , Algebra

m.viddya

Q.PROBABILITY:

If 3 dice are rolled the probability of getting the sum which does not exceed 16?

nadeemoidu

the sum exceeds 16 in 4 ways

6,6,6
6,6,5 ... 3 ways

probablilty = (216 - 4 ) / 216 = 212/216

= 53 / 54

spideyunlimited

The sum will exceed 16 if the numbers rolled out are
6, 6, 5
6, 5, 6
5, 6, 6
6, 6, 6
So 4 ways.

Total individual roll die sums that can occur are :
6x6x6
= 216 ways

So number of ways in which the sum won't exceed 16:

= 216 - 4
= 212 ways

So the probabilty that the sum of the three numbers rolled out is less than 16 is :
212 / 216
= 53 / 54

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