Question

В каждом из трех ящиков имеется по 24 детали при этом в первом ящике 18 во втором 20 в третьем 22 стандартные детали из каждого ящика берут по одной детали найти вероятность того что все три детали окажутся нестандартными

Answer 1

В первом 6 нестандартных, во втором 4, в третьем 2
По теореме умножения получим
Р=6/24*4/24*2/24=0,0035

Answer 2

Finding the Probability of All Three Parts Being Non-Standard

To find the probability that all three parts will be non-standard, we need to calculate the probability of selecting a non-standard part from each of the three boxes.

Given that there are 24 parts in each box, with 18 non-standard parts in the first box, 20 non-standard parts in the second box, and 22 non-standard parts in the third box, we can calculate the probability as follows:

Probability of selecting a non-standard part from the first box = 18/24 = 0.75. Probability of selecting a non-standard part from the second box = 20/24 = 0.8333. Probability of selecting a non-standard part from the third box = 22/24 = 0.9167.

To find the probability of all three parts being non-standard, we multiply the probabilities of each individual event:

Probability of all three parts being non-standard = (0.75) * (0.8333) * (0.9167) = 0.5729.

Therefore, the probability that all three parts will be non-standard is approximately 0.5729 or 57.29%.