Let's analyze Mandy's simulation to determine various statistics about the puppies.
### Step-by-Step Solution:
1. Counting the Number of Simulations:
- Mandy performed the experiment 10 times to simulate the gender of the four puppies.
- Therefore, there are 10 outcomes listed in the table.
2. Analyzing Each Outcome:
- Let's break down each string into the counts of male (T) and female (H) puppies.
Results:
- THTT: 3 males, 1 female
- TTTH: 3 males, 1 female
- TTHH: 2 males, 2 females
- HTTT: 3 males, 1 female
- TTTT: 4 males, 0 females
- HHHH: 0 males, 4 females
- HTHT: 2 males, 2 females
- HHHT: 1 male, 3 females
- THTH: 2 males, 2 females
- HHHH: 0 males, 4 females
3. Tabulating the Count of Males and Females per Simulation:
- Here’s the breakdown again:
- THTT: 3 males, 1 female
- TTTH: 3 males, 1 female
- TTHH: 2 males, 2 females
- HTTT: 3 males, 1 female
- TTTT: 4 males, 0 females
- HHHH: 0 males, 4 females
- HTHT: 2 males, 2 females
- HHHT: 1 male, 3 females
- THTH: 2 males, 2 females
- HHHH: 0 males, 4 females
4. Count the Total Number of Males and Females:
- Summing up the counts from each simulation:
- Total Males: 3 + 3 + 2 + 3 + 4 + 0 + 2 + 1 + 2 + 0 = 20 males
- Total Females: 1 + 1 + 2 + 1 + 0 + 4 + 2 + 3 + 2 + 4 = 20 females
### Final Answer:
- Number of Simulations: 10
- Number of Males and Females in each Simulation:
```
[{'males': 3, 'females': 1}, {'males': 3, 'females': 1}, {'males': 2, 'females': 2}, {'males': 3, 'females': 1}, {'males': 4, 'females': 0}, {'males': 0, 'females': 4}, {'males': 2, 'females': 2}, {'males': 1, 'females': 3}, {'males': 2, 'females': 2}, {'males': 0, 'females': 4}]
```
- Total Number of Males: 20
- Total Number of Females: 20
These results tell us that across 10 simulations of 4 puppies each, there were equal numbers of male and female puppies, with detailed counts available for each individual simulation.
