Answer: So, the probability of selecting a sailor's cap from Savannah's hat collection is 1/5 or 0.2 when expressed as a decimal.
Step-by-step explanation:
To find the probability of randomly choosing a sailor's cap from Savannah's hat collection, we need to calculate the ratio of sailor's caps to the total number of hats.
Given that Savannah has 10 hats in total, including 2 sailor's caps, we can set up the probability calculation as follows:
Number of sailor's caps = 2
Total number of hats = 10
Now, to find the probability of selecting a sailor's cap, we use the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
In this case:
Favorable outcomes (sailor's caps) = 2
Total possible outcomes (total number of hats) = 10
Therefore, the probability of randomly choosing a sailor's cap from Savannah's inventory is:
Probability = 2 (number of sailor's caps) / 10 (total number of hats)
Simplifying this, we get:
Probability = 1/5