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Dave coaches a roller hockey team and has a big bin of hockey pucks he uses at practice sessions. He randomly grabs some pucks from the bin and throws them onto the rink for the upcoming practice. So far, he's grabbed $4$ red, $3$ orange, $1$ yellow, $2$ pink, and $2$ green pucks. $\newline$ Based on the data, what is the probability that the next puck Dave grabs will be green? $\newline$ Write your answer as a fraction or whole number.

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Mean, variance, and standard deviation of binomial distributions

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Q. Dave coaches a roller hockey team and has a big bin of hockey pucks he uses at practice sessions. He randomly grabs some pucks from the bin and throws them onto the rink for the upcoming practice. So far, he's grabbed

4

red,

3

orange,

1

yellow,

2

pink, and

2

green pucks.

\newline

Based on the data, what is the probability that the next puck Dave grabs will be green?

\newline

Write your answer as a fraction or whole number.

Count Pucks: First, let's count the total number of pucks Dave has grabbed so far. He grabbed $4$ red, $3$ orange, $1$ yellow, $2$ pink, and $2$ green pucks.
Add Total: Add up all the pucks: $4$ (red) + $3$ (orange) + $1$ (yellow) + $2$ (pink) + $2$ (green) = $12$ pucks in total.
Find Probability: Now, we need to find the probability that the next puck Dave grabs is green. There are $2$ green pucks out of the total $12$ pucks.
Calculate Probability: The probability is calculated by dividing the number of green pucks by the total number of pucks. So, it's $\frac{2}{12}$ .
Simplify Fraction: Simplify the fraction $\frac{2}{12}$ to $\frac{1}{6}$ .

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