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6 Jun 2019

The digits of a two-digit number differ by 3. If the digits are interchanged and the resulting number is added to the original number, the sum is 143. What is the original number?

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Trinidad Tremblay
Trinidad TremblayLv2
8 Jun 2019
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   A bank assigns a 4-digit ID number to each new customer. If each digit is randomly selected from the numbers 0–9, what is the probability that none of the digits repeat? 
    

4. A computer randomly prints a three-digit string of numbers. The string consists only of the digits 0, 1, 2, or 3 and satisfies the extra condition that the sum of its digits is 3. As an example, 021 is one such string. d. After the string of numbers is printed, we randomly select one of the strings three angs Each of the three digits is equally to be chosen. Let G be the event that the digit selected is a 0. This depends on the number of o's in the string that is printed. For example, if the string has two o's, we get the conditional probability P(G|A) = . Using similar logic, write down the conditional probabilities P(GB) and P(GC).

4. A computer randomly prints a three-digit string of numbers. The string consists only of the digits 0, 1, 2, or 3 and satisfies the extra condition that the sum of its digits is 3. As an example, 021 is one such string. e. Use your answers from part d. to find the probability P(G) of selecting a 0 digit from any randomly printed string.

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