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Two dice are rolled simultaneously. Event A : The sum of the digits on the upper face is a multiple of 6. Event B : The sum of the digits on the upper face is minimum 10. Event C : The same digit on both the upper faces. |
Answer» Two dice are rolled simultaneously. `therefore` the sample space S={(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)} `thereforen(S)=36.` Event A : The sum of the digits on upper face is a multiple of 6. `thereforeA={(1,5),(2,4),(3,3),(4,2),(5,1),(6,6)}.` `thereforen(A)=6.` Event B : The sum of the digits on upper face is minimum 10. `therefore B={(4,6),(5,5),(5,6),(6,4),(6,5),(6,6)}.` `thereforen(B)=6.` Event C : The same digit on both the upper faces. `thereforeC={(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}.` `thereforen(C)=6.` |
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