Question

Из 10 деталей 6 стандартных. Какова вероятность того, что из 6 отобранных деталей 4 нестандартных?

Answer 1

Наверное 40 процентов =) (=

Answer 2

10-6=4 (д) — нестандартных
4/10=0,4 — вероятность

Answer 3

Calculation of Probability

To calculate the probability of selecting 4 non-standard parts out of 6 selected parts, we need to know the total number of parts and the number of non-standard parts available.

From the given information, we know that there are 10 parts in total, out of which 6 are standard and the remaining are non-standard.

Let's denote: - N: Total number of parts (N = 10) - K: Number of non-standard parts (K = 4) - n: Number of parts selected (n = 6)

The probability of selecting 4 non-standard parts out of 6 selected parts can be calculated using the formula for combinations:

P = (Number of ways to select 4 non-standard parts out of 6) / (Number of ways to select 6 parts out of 10)

The number of ways to select 4 non-standard parts out of 6 is given by the combination formula:

C_K^k = C_4^6 = 6! / (4! * (6-4)!) = 6! / (4! * 2!) = 15

The number of ways to select 6 parts out of 10 is also given by the combination formula:

C_N^n = C_10^6 = 10! / (6! * (10-6)!) = 10! / (6! * 4!) = 210

Therefore, the probability can be calculated as:

P = C_K^k / C_N^n = 15 / 210 = 0.0714

So, the probability of selecting 4 non-standard parts out of 6 selected parts is approximately 0.0714 or 7.14%.