A bag contains 25 marbles of the same size that are yellow, green, and purple. The probability of picking a yellow marble is 20%. The probability of picking a green marble is 50%. Determine the probability of picking a purple marble from the bag and then classify the probability of picking a purple marble as likely or not likely to occur. (5 points)
To find the probability of picking a purple marble, we first need to calculate the probability of picking a yellow or green marble and then subtract that probability from 1.
Probability of picking a yellow marble = 20%
Probability of picking a green marble = 50%
Probability of picking a yellow or green marble = Probability of yellow + Probability of green
= 0.20 + 0.50
= 0.70
Probability of picking a purple marble = 1 - Probability of yellow or green marble
= 1 - 0.70
= 0.30
Therefore, the probability of picking a purple marble from the bag is 30%. This makes it not likely to occur as it is less than 50%, which is often considered the benchmark for defining a likely event.