Question

Two different dice are thrown at the same time find the probability of getting a)a sum b)sum divisible by 5 c)sum of at least 11

Answer 1

When two dice are thrown simultaneously, the sample space of the experiment is

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

So there are 36 equally likely outcomes.

Possible number of outcomes =36.

Let E be an event of getting a sum divisible by 5.

Favourable outcomes =(1,4),(2,3),(3,2),(4,1),(4,6),(5,5),(6,4)

Number of favourable outcomes =7

$P(E)= \frac{Number \: off \: avourable \: outcomes}{Number \: of \: possible \: outcomes} </p><p></p><p>$

P(E)=7/36

Probability of getting a sum divisible by 5 is 7/36.