Answer:
![a.\ Probability = 0.426](https://img.qammunity.org/2022/formulas/mathematics/high-school/t70rbnjx8bbd4culq0m7jm2knqfcbsyr2b.png)
![b.\ Probability = 0.574](https://img.qammunity.org/2022/formulas/mathematics/high-school/y8ibd9a3jg3g3wslq6svw2xuczefm2l059.png)
Explanation:
Given
![Total\ Families = 1000](https://img.qammunity.org/2022/formulas/mathematics/high-school/8tjzln9crkxpwgsy4ufcnuui4hyh23kicx.png)
Number of Girls : 0 ----> 1 -----> 2 ------->3
Number of Families: 112 -> 314 --> 382 ---> 192
Solving (a): At most one girl
From the table, the number of families with at most one girl is: 112 + 314
i.e.
Number of Girls : 0 ----> 1
Number of Families: 112 -> 314
So, we have:
![At\ Most\ One\ Girl = 112 + 314](https://img.qammunity.org/2022/formulas/mathematics/high-school/p1zlta3evbkq20p356bufxb7v4cxf9yeog.png)
![At\ Most\ One\ Girl = 426](https://img.qammunity.org/2022/formulas/mathematics/high-school/86fjk6tyql3e22hnfqifs8xswd9ab20x1c.png)
The probability is then calculated as:
![Probability = (At\ Most\ One\ Girl)/(Total)](https://img.qammunity.org/2022/formulas/mathematics/high-school/4nhldpuesapb6ch88btv6en9t7xndc3yq8.png)
![Probability = (426)/(1000)](https://img.qammunity.org/2022/formulas/mathematics/high-school/txllqvfjkiu5vnk1jv9kwkc5g3131kyy0y.png)
![Probability = 0.426](https://img.qammunity.org/2022/formulas/mathematics/high-school/8howleo6daxaf4piewfn0wu50vgiau7xk7.png)
Solving (b): More girls
From the table, the number of families with more girl is: 382 + 192
i.e.
Number of Girls : -----> 2 ------->3
Number of Families: --> 382 ---> 192
So, we have:
![More\ Girls = 382 + 192](https://img.qammunity.org/2022/formulas/mathematics/high-school/ip6q0vji13gaskhwi4fx6o0vwu3vnnfcfs.png)
![More\ Girls = 574](https://img.qammunity.org/2022/formulas/mathematics/high-school/d2r0cxdp6h1cwvtrzbol0kvgf9hh0i3urh.png)
The probability is then calculated as:
![Probability = (More\ Girls)/(Total)](https://img.qammunity.org/2022/formulas/mathematics/high-school/uyry9qun9nk5irdtyrjxuyd06746lx9udm.png)
![Probability = (574)/(1000)](https://img.qammunity.org/2022/formulas/mathematics/high-school/wgscox2v4s7hdqn4i86qqeu5ilk91levzq.png)
![Probability = 0.574](https://img.qammunity.org/2022/formulas/mathematics/high-school/5lnmrtmvvk74oim58x7ah7p42cls6f8cd0.png)