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Diane has pulled $2$ green marbles and $10$ other marbles from a large bag. What is the experimental probability that the next marble selected from the bag will be green? $\newline$ Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{green}) = \_\_\_\_$

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Experimental probability

Full solution

Q. Diane has pulled

2

green marbles and

10

other marbles from a large bag. What is the experimental probability that the next marble selected from the bag will be green?

\newline

Simplify your answer and write it as a fraction or whole number.

\newline

P(\text{green}) = \_\_\_\_

Use Formula: To calculate the experimental probability of selecting a green marble, we need to use the formula: $\newline$ $P(\text{green}) = \frac{\text{Number of green marbles}}{\text{Total number of marbles}}$ $\newline$ Diane has pulled $2$ green marbles and $10$ other marbles, so the total number of marbles she has pulled is $2$ (green) + $10$ (other) = $12$ marbles.
Calculate Probability: Now we can calculate the experimental probability of selecting a green marble based on the past events: $\newline$ $P(\text{green}) = \frac{\text{Number of green marbles}}{\text{Total number of marbles}}$ $\newline$ $P(\text{green}) = \frac{2}{12}$
Simplify Fraction: We can simplify the fraction $\frac{2}{12}$ by dividing both the numerator and the denominator by the greatest common divisor, which is $2$ : $P(\text{green}) = \frac{(2 \div 2)}{(12 \div 2)}$ $P(\text{green}) = \frac{1}{6}$

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