A student wants to send a bouquet of roses to her mother for Mother's Day. She can afford to buy only two types of roses and decides to randomly pick two from the following four varieties: Blue Bell, Yellow Success, Sahara, and Aphrodite. Label the varieties B, Y, S, A. Assuming that all outcomes are equally likely, what is the probability that she will pick Sahara and Aphrodite?
There are 4 free choices for the first variety, and since he wanted to choose two variety, the second one is limited to three choices. How many possible choices (P(2)) are possible?
Now he could have chosen A/S or S/A, so the probability is 2/P(2).
To find the probability that the student will pick Sahara and Aphrodite, we need to determine two things: the total number of possible outcomes and the number of favorable outcomes.
First, let's consider the total number of possible outcomes. Since the student can only pick two types of roses, she has a total of 4 choices for the first rose and 3 choices for the second rose, giving us a total of 4 * 3 = 12 possible outcomes.
Next, let's determine the number of favorable outcomes, which is the number of ways the student can pick Sahara and Aphrodite. Since these are two specific types of roses, there is only one way to choose them.
Therefore, the number of favorable outcomes is 1.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 1 / 12
Simplifying this fraction, we get:
Probability = 1/12
So, the probability that the student will randomly pick Sahara and Aphrodite is 1/12.