Riena has six unmarked CDs in a box, where each is dedicated

to exactly one of English, mathematics, French,
American history, chemistry, and computer science.
Answer the following questions:
a. If she chooses a CD at random, what is the probability
she chooses the English CD?
b. What is the probability that she chooses a CD that is
neither mathematics nor chemistry?

a. 1/6

b. 4/6 = 2/3

To answer these questions, we need to understand the concept of probability. Probability is a measure of the likelihood that a specific event will occur. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, we have six CDs in a box, each dedicated to a different subject. Let's analyze the questions step by step:

a. Probability of choosing the English CD:
Since all six CDs are equally likely to be chosen, the probability of choosing the English CD is determined by the number of favorable outcomes, which is one, since there is only one CD dedicated to English, and the total number of possible outcomes, which is six (since there are six CDs in total).
Thus, the probability of choosing the English CD is 1/6.

b. Probability of choosing a CD that is neither mathematics nor chemistry:
To find the probability of choosing a CD that is neither mathematics nor chemistry, we need to count the number of CDs dedicated to other subjects. In this case, we have the English, French, American history, and computer science CDs that are neither mathematics nor chemistry.
Therefore, the number of favorable outcomes is four, and the total number of possible outcomes remains six.
Thus, the probability of choosing a CD that is neither mathematics nor chemistry is 4/6.

In summary:
a. The probability of choosing the English CD is 1/6.
b. The probability of choosing a CD that is neither mathematics nor chemistry is 4/6.