# Consider all three-digit numbers that can be created from the digits 0-90-9 where the first and last digits must be odd and no digit can repea

2021-12-20
Consider all three-digit numbers that can be created from the digits 0-90-9 where the first and last digits must be odd and no digit can repeat. What is the probability of choosing a random number that starts with 11 from this group? Enter a fraction or round your answer to 44 decimal places, if necessary.

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Total digits = 10

Total even digits = 5

Total 3-digit numbers where first and last digits are even $$= 5 \times 10 \times 5 = 250$$

Total 3-digit numbers where first digit is 6 and last digit is even $$= 1 \times 10 \times 5 = 50$$

P(number starts with 6) $$= \frac{50}{250} = 0.2$$