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Two digit numbers are formed using the digits 0,1,2,3,4,5 without repetition of the digits. Condition for event A : The number formed is even. Condition for event B : The number formed is divisible by 3. Comdition for event C: The number formed is greater than 50. |
Answer» As we have to form two-digit numbers, 0 cannot be at tens place. "The sample space" `S={10,12,13,14,15,20,21,22,23,24,25,30,31,32,34,35,40,41,42,43,45,50,51,52,53,54}` `thereforen(S)=25.` (i) Condition for event A : The number formed is even. `therefore A={10,12,14,20,24,30,32,34,40,42,50,52,54}` `thereforen(A)=13.` (ii) Condition for event B : The number is divisible by 3. `thereforeB={12,15,21,24,30,42,45,51,54}` `thereforen(B)=9.` (iii) Condition for event C : The number is greater than 50. `thereforeC={51,52,53,54}` `thereforen(C)=4.` |
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