Question

Cam placed 100 marbles in a bag. Twenty-eight of the marbles are yellow, 11 marbles are purple, 32 marbles are orange, 16 marbles are red, and 13 marbles are blue. Click and drag the letters into the boxes on the probability scale to order the likelihood that the event will happen.

A. drawing a red marble or a purple marble

B. drawing an orange marble or a purple marble

C. drawing a yellow marble, an orange marble, or a blue marble

D. drawing a red marble, a yellow marble, or a blue marble

E. drawing a red marble or an orange marble

Answer 1

To order the likelihood of different events, we need to calculate the probabilities for each event. Drawing a red or purple marble has a probability of 27/100, drawing an orange or purple marble has a probability of 43/100, drawing a yellow, orange, or blue marble has a probability of 73/100, drawing a red, yellow, or blue marble has a probability of 57/100, and drawing a red or orange marble has a probability of 48/100.

Step-by-step explanation:

To order the likelihood of each event happening, we need to compare the number of favorable outcomes to the total number of possible outcomes. Let's calculate the probabilities for each event:

a. Drawing a red marble or a purple marble: There are 16 red marbles and 11 purple marbles. The total number of marbles is 100. So, the probability is (16 + 11) / 100 = 27/100.

b. Drawing an orange marble or a purple marble: There are 32 orange marbles and 11 purple marbles. The probability is (32 + 11) / 100 = 43/100.

c. Drawing a yellow marble, an orange marble, or a blue marble: There are 28 yellow marbles, 32 orange marbles, and 13 blue marbles. The probability is (28 + 32 + 13) / 100 = 73/100.

d. Drawing a red marble, a yellow marble, or a blue marble: There are 16 red marbles, 28 yellow marbles, and 13 blue marbles. The probability is (16 + 28 + 13) / 100 = 57/100.

e. Drawing a red marble or an orange marble: There are 16 red marbles and 32 orange marbles. The probability is (16 + 32) / 100 = 48/100.