To determine the estimated probability that Pedro will eat pizza for lunch every day next week, we need to consider a few key aspects of probability:
1. Total Possible Combinations:
The total number of potential combinations where Pedro could have lunch is the sum of all the numbers in the table provided. This is because each cell in the table represents a possible way for Pedro to have lunch.
2. Successful Events:
In this context, a successful event is defined as Pedro eating pizza for lunch. To calculate the probability, we need to know the number of successful events (days Pedro eats pizza for lunch every day next week).
3. Probability Calculation:
The probability is calculated as the ratio of successful events to the total possible combinations.
Let’s break down the steps:
### Step 1: Calculate the Total Number of Possible Combinations
We have the table of data:
[tex]\[
\begin{array}{|l|l|l|l|l|}
\hline
95032 & 47150 & 71709 & 38889 & 94007 \\
\hline
35013 & 57890 & 72924 & 19365 & 47879 \\
\hline
\end{array}
\][/tex]
Adding these numbers together:
[tex]\[
95032 + 47150 + 71709 + 38889 + 94007 + 35013 + 57890 + 72924 + 19365 + 47879 = 579858
\][/tex]
The total number of possible combinations is 579858.
### Step 2: Determine the Number of Successful Events
The problem requires knowing how many of these combinations involve Pedro eating pizza for lunch every day next week. In this case, we are given that there are zero successful events.
### Step 3: Calculate the Probability
The probability (P) that Pedro will eat pizza for lunch every day next week is given by the ratio of successful events to the total possible combinations:
[tex]\[
P(\text{pizza every day}) = \frac{\text{Number of successful events}}{\text{Total possible combinations}} = \frac{0}{579858} = 0.0
\][/tex]
### Final Answer
The probability that Pedro will eat pizza for lunch every day next week is 0.0 (or 0%). This means it is statistically impossible for Pedro to eat pizza for lunch every day next week based on the given data.
