Question

five students, adriana, ben, chandra, diana, and ernesto, would each like one of the four spots at the regional science fair. their names are placed in a hat, and four names are chosen at random to decide who attends the fair. what is the theoretical probability that chandra will be chosen as one of the science fair participants? 25% 60% 75% 80%

Explanation:

Step1: Determine total and favorable outcomes

Total number of ways to choose 4 names out of 5 is equivalent to the number of ways of leaving 1 name out of 5. The number of favorable outcomes (Chandra is chosen) is the number of cases where Chandra is not left out.

Step2: Calculate the probability

The probability $P$ that Chandra is chosen is equal to the number of favorable outcomes divided by the total number of outcomes. The total number of outcomes is 5 (since there are 5 ways to leave one - name out). The number of favorable outcomes is 4 (because there are 4 ways to leave someone other than Chandra out). So $P=\frac{4}{5}=0.8$.

Answer:

80%