diane has pulled 2 green marbles and 10 other marbles from a large bag. what is the experimental probability…

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? simplify your answer and write it as a fraction or whole number. p(green) =

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? simplify your answer and write it as a fraction or whole number. p(green) =

Answer

Explanation:

Step1: Calculate total marbles drawn

The total number of marbles drawn is the sum of green marbles and non - green marbles. So, $2 + 10=12$.

Step2: Use experimental probability formula

The experimental probability $P(A)$ of an event $A$ (in this case, drawing a green marble) is given by the number of times event $A$ occurred divided by the total number of trials. Here, the number of green marbles drawn is 2 and the total number of marbles drawn is 12. So, $P(\text{green})=\frac{2}{12}$.

Step3: Simplify the fraction

Simplify $\frac{2}{12}$ by dividing both the numerator and denominator by their greatest common divisor, which is 2. $\frac{2\div2}{12\div2}=\frac{1}{6}$.

Answer:

$\frac{1}{6}$