Question

Henry, Toshi, Lizette, Anna, and Vance were all scheduled to give oral reports in their history class on Tuesday. However, when the class met, the teacher announced that only two people would give their presentations that day. To determine which two, all of their names were placed in a hat and two names were drawn out. What is the probability that Henry and Anna were the names picked to give presentations? Show how you arrived at your conclusion.

Answer 1

The probability that Henry and Anna were the names picked to give presentations is 1/10 or 10%.

Step-by-step explanation:

To determine the probability that Henry and Anna were the names picked to give presentations, we need to count the total number of possible outcomes and the number of favorable outcomes. There are a total of 5 students, so the total number of possible outcomes is 5 choose 2, which is equal to 10. The number of favorable outcomes is 1, because there is only one way for Henry and Anna to be selected. Therefore, the probability is 1/10, which can also be written as 0.1 or 10%.