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 2 years ago
In a factory, a species of oranges have a 1/3 chance of having a pit. What is the probability that, at most, 1 out of 4 oranges have a pit?
 2 years ago
In a factory, a species of oranges have a 1/3 chance of having a pit. What is the probability that, at most, 1 out of 4 oranges have a pit?

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kropot72
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know the binomial distribution?

kropot72
 2 years ago
Best ResponseYou've already chosen the best response.0\[P(0\ with\ pit)=\left(\begin{matrix}4 \\ 0\end{matrix}\right)(\frac{1}{3})^{0}(1\frac{1}{3})^{4}=(\frac{2}{3})^{4}\] \[P(1\ with\ pit)=\left(\begin{matrix}4 \\ 1\end{matrix}\right)(\frac{1}{3})^{1}(1\frac{1}{3})^{3}=4\times\frac{1}{3}\times (\frac{2}{3})^{3}\] After you calculate the above 2 values of probability then add them to find the probability that at most 1 out of 4 oranges will have a pit.
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