A sample of 10 selected from a population of 21 distinct objects is said to be a $\textbf{ random sample }$ if each collection of size 10 has the same probability of being selected. What is this probability?
A) $ \frac{1}{10} $

B) $ \frac{1}{21} $

C) $ \frac{10}{21} $

D) $ \frac{1}{352,716} $

Question

A sample of 10 selected from a population of 21 distinct objects is said to be a $\textbf{    random sample     }$  if each collection of size 10 has the same probability of being selected. What is this probability? 
A) $ \frac{1}{10} $

B) $ \frac{1}{21} $

C) $ \frac{10}{21} $

D) $ \frac{1}{352,716} $

Quizplus · Accepted Answer

The probability of selecting a specific sample of 10 from 21 distinct objects is the reciprocal of the number of combinations of 21 objects taken 10 at a time, which is $\binom{21}{10} = 352,716$. Thus, the probability is $\frac{1}{352,716}$.

A Sample of 10 Selected from a Population of 21 random sample \textbf{ random sample } random sample

A Sample of 10 Selected from a Population of 21 $\textbf{ random sample }$