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A random two-digit number(10-99) is drawn. The probability that the number is ood is

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Final answer:

The probability of drawing an odd two-digit number (10-99) is 1/2 or 0.5, as half of the two-digit numbers are odd.

Step-by-step explanation:

Probability of Drawing an Odd Two-Digit Number

To find the probability that a random two-digit number (10-99) is odd, we consider that the oddness of a number is determined by its last digit. There are 5 possible odd digits: 1, 3, 5, 7, and 9. Each of the digits 0-9 has an equal chance of occurring as the last digit. Since there are a total of 90 two-digit numbers from 10 to 99, and half of these will have an odd last digit, the probability is thus 45 out of 90, or 1/2.

Calculating the probability involves simply recognizing that for any tens digit, there are 5 odd possibilities for the units digit. Since there are 9 possible tens digits (1 through 9), this gives us 9 * 5 = 45 odd two-digit numbers. So, the probability is 45/90 which simplifies to 1/2 or 50%. Therefore, the probability of drawing an odd two-digit number is 0.5.

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