Final answer:
The probability that a randomly selected marble will be green from a hat containing 36 marbles, with 27 being green, is 0.75 or 75% when rounded to two decimal places.
Step-by-step explanation:
To find the probability that the selected marble will be green from a hat containing 36 marbles, where 9 are red and 27 are green, we use the formula for probability which is:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
In this case, the number of favorable outcomes is the number of green marbles, which is 27, and the total number of possible outcomes is the total number of marbles, which is 36. Therefore, the probability is:
Probability (green) = 27 / 36
When we simplify this fraction, we get:
Probability (green) = 3 / 4
Convert this to a decimal to get:
Probability (green) = 0.75
Finally, rounding to two decimal places:
Probability (green) = 0.75