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a social security number consists of nine digits in a particular order and repetition is allowed after seeing the last four digits printed on a receipt if you randomly select the other digits what is the probability of getting it correct okay so lets draw a little picture of the social security numbers so we have one two three four five six seven eight nine and so we know that the last four digits we know what they are so boom boom boom boom we got this we want the probability of getting the social security number correct okay so we know the last four digits so we need to figure out how many ways can we pick the other digits how many possibilities are there well repetition is allowed and these are single-digit numbers so we have to choose between the numbers 0 9 so there are 10 choices right because you have to count the 0 so theres 10 choices for the first number 10 choices for the second number 10 choices for the third number 10 choices for the fourth 10 choices for the fifth we