Given a general probability, determining the probability in a set

AI Thread Summary
The discussion revolves around calculating the probability of exactly 6 out of 14 silicon chips being non-defective, given a defect probability of 0.61. The probability of a chip not being defective is 0.39. Participants clarify that this scenario can be modeled using a Binomial Distribution. The solution involves using the combination formula, specifically 14C6, to find the required probability. The user ultimately resolves the problem by applying the appropriate statistical formula.
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Homework Statement



The probability of a silicon chip to be defect is .61 at the final production line.
What is the probability that exactly 6 of the 14 chips are NOT defect?

Homework Equations


The Attempt at a Solution



P(A)=.61
P(A')=.39 (since we are going to be looking for the probability that we won't have a defective chip)

Now the probability that 6 of those 14 won't be defective is ?

If there is a 39% chance of success for the total 14 chips, how do I relate that to only 6 of them?Help me visualize this since I am utterly horrible at statistics

<b>EDIT: Just found out this is a Binomial Distribution problem and found the answer by plugging and chugging the values into the formula</b>
 
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try use combination

14C6
 

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