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destineysarah
30.01.2020 •
Mathematics
Acommittee of 4 is being formed randomly from the employees at a school: 6 administrators, 38 teachers, and 5 staff. what is the probability that all 4 members are administrators? express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
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Ответ:
0.00007 (to the nearest millionth)
Step-by-step explanation:
The total number of ways to select 4 members who are administrators is:
and the total number of ways to select 4 members is:
.
Thus, we deduce that the probability of selecting 4 admins is:![\frac{\binom{6}{4}}{\binom{49}{4}} = 0.000070796\dots \approx 0.00007](/tpl/images/0486/8406/e14d9.png)
Ответ:
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