Three digit numbers are formed with the digits 0, 2, 4, 6 and 8. Write

1.	Three digit numbers are formed with the digits 0, 2, 4, 6 and 8. Write the probability of forming a three digit number with the same digits.
Answer» The probability of forming 3-digit no. with digits 0, 2, 4, 6, 8 is as follows, Since it is a 3 digit no., first place cannot have 0 as it will make it a 2 digit no. \(\therefore\) 1^st place can be filled in 4 ways, 2^nd place in 5 ways and 3^rd in 5 ways. \(\therefore\) total number = 4 x 5 x 5 = 100 The three digit numbers with same digits are 222,444,666,888 \(\therefore\) P (forming three-digit no.) = \(\cfrac{4}{100}=\cfrac{1}{25}=0.04\)

Three digit numbers are formed with the digits 0, 2, 4, 6 and 8. Write the probability of forming a three digit number with the same digits.

Answer»

The probability of forming 3-digit no. with digits 0, 2, 4, 6, 8 is as follows,

Since it is a 3 digit no., first place cannot have 0 as it will make it a 2 digit no.

\(\therefore\) 1^st place can be filled in 4 ways, 2^nd place in 5 ways and 3^rd in 5 ways.

\(\therefore\) total number = 4 x 5 x 5 = 100

The three digit numbers with same digits are 222,444,666,888

\(\therefore\) P (forming three-digit no.) = \(\cfrac{4}{100}=\cfrac{1}{25}=0.04\)

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Three digit numbers are formed with the digits 0, 2, 4, 6 and 8. Write the probability of forming a three digit number with the same digits.

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