Question

campers select one inside activity and one outside activity daily. there are 5 inside activities and 8 outside activities. (ex 5) j. what is the probability of choosing pottery and horseback riding on the first day?

Explanation:

Step1: Find total number of combinations

To find the total number of ways to choose one inside and one outside activity, we use the multiplication principle. The number of inside activities is 5 and outside is 8, so total combinations = \(5\times8 = 40\).

Step2: Find favorable outcomes

The favorable outcome is choosing pottery (1 inside activity) and horseback riding (1 outside activity), so there's 1 favorable combination.

Step3: Calculate probability

Probability is the number of favorable outcomes divided by total outcomes. So probability = \(\frac{1}{40}\).

Answer:

\(\frac{1}{40}\)