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An integer from 10 through 99, inclusive, is to be chosen at random. What is the probability that the number chosen will have 0 as at least 1 digit?
  • a)
    2/90
  • b)
    1/10
  • c)
    9/89
  • d)
    10/89
  • e)
    9/100
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
An integer from 10 through 99, inclusive, is to be chosen at random. W...
The first step in solving this problem is to determine how many integers between 10 and 99, inclusive, will have 0 as at least one digit, as follows: 10, 20, 30, 40, 50, 60, 70, 80, 90
There are 9 integers that will have 0 as at least one digit. Next, because there are a total of 90 numbers in the given range, the probability of choosing one of those 9 numbers is 9/90, which simplifies to 1/10.
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Community Answer
An integer from 10 through 99, inclusive, is to be chosen at random. W...
Understanding the Problem:
To find the probability that a randomly chosen integer from 10 through 99 will have 0 as at least 1 digit.

Solution:
To find the total number of integers from 10 to 99, we subtract the lower limit from the upper limit and add 1:
Total integers = 99 - 10 + 1 = 90

Finding the integers with at least one 0:
To find integers with at least one 0 digit, we count the integers that have 0 as a ten's digit (10-19, 20-29, ..., 90-99) and those that have 0 as a unit's digit (10, 20, ..., 90).
Total integers with at least one 0 = 9 + 10 = 19

Calculating the Probability:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability = 19 / 90
Probability = 1 / 10
Therefore, the probability that the number chosen will have 0 as at least 1 digit is 1/10 or option 'B'.
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An integer from 10 through 99, inclusive, is to be chosen at random. What is the probability that the number chosen will have 0 as at least 1 digit?a)2/90b)1/10c)9/89d)10/89e)9/100Correct answer is option 'B'. Can you explain this answer?
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