To calculate the probability that a marble selected from the bag is green, you can use the formula for probability:
Probability (P) of an event = (Number of favorable outcomes) / (Total number of possible outcomes).
In this scenario, the event we are looking at is selecting a green marble from the bag. The number of favorable outcomes is the number of green marbles, and the total number of possible outcomes is the total number of marbles in the bag.
Step-by-step solution:
1. Number of green marbles = 8 (these are the favorable outcomes as we are looking for the probability of drawing a green marble).
2. Total number of marbles = 20 (this is the total number of possible outcomes).
3. Calculate the probability of selecting a green marble:
P(green) = Number of green marbles / Total number of marbles
P(green) = 8 / 20
4. Simplify the fraction if necessary. In this case, we can simplify by dividing the numerator and the denominator by the greatest common divisor (which is 4):
P(green) = 8 ÷ 4 / 20 ÷ 4
P(green) = 2 / 5
As a result, the probability of selecting a green marble from the bag is \(\frac{2}{5}\) or 0.4, which means there is a 40% chance that the marble selected will be green.
