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NeX [460]
2 years ago
9

Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randoml

y selected​ (with replacement).
1. Find the probability that for one such phone​ number, the last four digits include at least one 0.
Mathematics
1 answer:
vovikov84 [41]2 years ago
4 0

Answer: 0.3439

Step-by-step explanation:

Given :The last four digits for telephone numbers are randomly selected​ (with replacement).

Here , each position can be occupied with any of the digit independently .

Total digits = 10

Total digits other than 0 = 9

For each digits , the probability that it is not 0 = \dfrac{9}{10}=0.9

If we select 4 digits , The probability of getting no 0 =(0.9)^4 =0.6561

(By multiplication rule of independent events)

Now , the probability that for one such phone​ number, the last four digits include at least one 0. = 1- P(none of them is 0)

=1- 0.6561=0.3439

Hence, the probability that for one such phone​ number, the last four digits include at least one 0. is 0.3439 .

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