M07.D-S.3.1.1
A bag contains 10 marbles of the same size that are red, yellow, and orange. The probability of picking a red marble is 10%. The probability of picking a yellow marble is 60%. Determine the probability of picking an orange marble from the bag and then classify the probability of picking an orange marble as likely or not likely to occur.
(5 points)
Group of answer choices
70%; certain
30%; likely
70%; impossible
30%; not likely
To determine the probability of picking an orange marble, we first need to find the total probability of picking either a red, yellow, or orange marble.
Since the probabilities of picking a red marble and a yellow marble are already given as 10% and 60% respectively, the probability of picking either a red or yellow marble is 10% + 60% = 70%.
Therefore, the probability of picking an orange marble is 100% - 70% = 30%.
Since the probability of picking an orange marble is 30%, it can be classified as not likely to occur.
Therefore, the correct answer is: 30%; not likely.