Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randomly selected (with replacement). Find the probability that for one such phone number, the last four digits include at least one 0.

Daniaal Sanchez

Daniaal Sanchez

Answered question

2021-02-21

Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randomly selected (with replacement). Find the probability that for one such phone number, the last four digits include at least one 0.

Answer & Explanation

SchepperJ

SchepperJ

Skilled2021-02-22Added 96 answers

We will first find the probability that we call a number which does not have zeros.
We have 104=10000
numbers to choose from (on each of the 4 places we can put any of the 10 digits). Also, we have 94=6561
numbers which do not have a zero (because on each of the 4 places we can put any of the 9 digits - we must exclude 0).
So, the probability is
656110000=0.6561

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