Answer:
1/3
Step-by-step explanation:
i have attached a tree diagram to help with your understanding, first branches show probability of picking either green or red the first time she picks one. The next set of branches show the updated probabilities after one pencil has been taken out.
This is an example of binomial probability (pass/fail), with n=8 and p(failure)=0.3.
The probability that none will fail is binompdf(8,0.3,0) = 0.0576.
The prob. that all will fail is found by subtracting this result from 1.0000, and is 1.0000-0.0576=0.9424. "All" is the "complement" of "None."
I used my TI-83 Plus calculator's probability distribution functions to calculate the probability that none will fail.
0.0000045 that's the normal
0.00000270 that's know
I think that is the answer
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