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A medicine is effective for 80% of patients. The table shows 30 randomly generated numbers from 0 to 999. Use the table to estimate the probability that the medicine is effective on fewer than two of the next three patients. Let the digits 1 through 8 represent the medicine being effective.



463 013 231 898 139

365 492 565 188 465

438 751 961 646 598

045 241 940 901 467

151 774 538 380 509

251 924 401 549 859

The probability is

.

Verified Answer :

Based on the given numbers, we can estimate that the numbers 1 to 8 occurred 24 times out of the 30 generated numbers.
Using the formula for estimating the probability of a certain event occurring,
Probability (event) = (Number of favorable outcomes) / (Total number of possible outcomes)
In this case, the number of favorable outcomes is 8 (the numbers representing the medicine being effective), and the total number of possible outcomes is 30.
So, the estimated probability of the medicine being effective on fewer than two of the next three patients is:

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