Numbers that are palindromes read the same forward and backward. For example, 30203 is a five digit palindrome. If a single number is chosen randomly from the set of all three-digit numbers, find the probability that it will be palindromic.
Answer 1/10??
3 answers
Yes, that's correct.
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all possible 3-digit numbers: 100, 101, ... , 999
there are 1000 of them
palindromes:
101, 202, 303, ...909 ---> 9 of those
111, 212, ... 919, --- 9 more
...
191, 292, ... 999 --- 9 of those
so there are 90 of them
prob(of your event) = 90/1000 = 9/100
there are 1000 of them
palindromes:
101, 202, 303, ...909 ---> 9 of those
111, 212, ... 919, --- 9 more
...
191, 292, ... 999 --- 9 of those
so there are 90 of them
prob(of your event) = 90/1000 = 9/100