There is a large bag with marbles in it. There are 23 red ones, 16 black ones, 5 blue ones, 17 orange ones, 4 white ones, and 15 purple ones. Juanita reaches in without looking and selects one marble.
What is the probability that it is purple?
15/80 = 3/16
To find the probability that the selected marble is purple, we need to divide the number of purple marbles by the total number of marbles in the bag.
First, we need to find the total number of marbles. We add up the quantities of red, black, blue, orange, white, and purple marbles:
Total number of marbles = 23 + 16 + 5 + 17 + 4 + 15 = 80
Next, we find the number of purple marbles, which is given as 15.
Now, we can calculate the probability. The probability of selecting a purple marble is equal to the number of purple marbles divided by the total number of marbles:
Probability of selecting a purple marble = Number of purple marbles / Total number of marbles
Probability of selecting a purple marble = 15 / 80
Simplifying the fraction, the probability is:
Probability of selecting a purple marble = 3 / 16
Therefore, the probability that Juanita selects a purple marble is 3/16.