1.

Two dice are thrown at the same time. Determine the probability that the difference of the number on the two dice is 2.

Answer» Total number of sample space in two dice, n(S)=`6xx6=36`
Let, E=Event of sample the number whose difference is 2 ={(1,3),(2,4),(3,5),(4,6),(3,1),(4,2),(5,3),(6,4)}
`therefore n(E )=8`
`therefore P(E )=(n(E ))/(n(S))=(8)/(36)=(2)/(9)`


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