A box contains 8 red marbles and 3 green ones.

skeexerxo175o

skeexerxo175o

Answered question

2021-11-13

A box contains 8 red marbles and 3 green ones. Six draws are made at random without replacement. True or false: the chance that the 3 green marbles are drawn equals
6!3!3!(811)3(311)3

Answer & Explanation

Thouturs

Thouturs

Beginner2021-11-14Added 12 answers

Binomial probability: 
P(X=k)=n!k!(nk)!pk(1p)nk 
The expression 6!3!3!(811)3(311)3 is obtained by evaluating the formula of the binomial probability at n =6 and p=811 
Binary, independent trials, a fixed number of trials, and the chance of success being the same for each trial are the four requirements for a binomial setting. 
Since the conditions for a binomial setting are not satisfied, the chance that the green marbles are drawn is not equal to 6!3!3!(811)3(311)3 and thus the statement is false.

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