## anonymous 3 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?

1. kropot72

Do you know the binomial distribution?

2. anonymous

Nope.

3. kropot72

$P(0\ with\ pit)=\left(\begin{matrix}4 \\ 0\end{matrix}\right)(\frac{1}{3})^{0}(1-\frac{1}{3})^{4}=(\frac{2}{3})^{4}$ $P(1\ with\ pit)=\left(\begin{matrix}4 \\ 1\end{matrix}\right)(\frac{1}{3})^{1}(1-\frac{1}{3})^{3}=4\times\frac{1}{3}\times (\frac{2}{3})^{3}$ 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.