**Q) How many positive three digit integers have the hundredths digit 8 and unit’s digit 5? Find the probability of selecting one such number out of all three digit numbers.**

**Ans: **

3 digit integers with hundredths digit as 8 will lie between 800 and 999

Now, numbers with unit’s digit as 5 will be 805, 815, 825, 835, 845, 855, 865, 875, 885 and 895 i.e 10.

**Hence there will be 10 three digit numbers with hundredths digit as 8 and unit’s digit as 5.**

Now, Total 3 digit numbers = 999 – 99 = 900

Now the probability =

=

**Therefore, the probability of selecting a “three digit number with hundredths digit as 8 and unit’s digit as 5” out of “all three digit numbers” is .**

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