Question

Math

Posted 3 months ago

```
The following frequency table summarizes the number of children that dads in Dads Club have.
\begin{tabular}{cc}
Number of children & Number of members \\
\hline 1 & 6 \\
2 & 4 \\
3 & 8 \\
4 & 1 \\
5 & 1
\end{tabular}
Based on this data, what is a reasonable estimate of the probability that the next dad to join Dads Club has fewer than 3 children?
Choose the best answer.
Choose 1 answer:
(A) $20 \%$
(B) $\mathbf{4 0 \%}$
(c) $50 \%$
(D) $80 \%$
```

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Answer from Sia

Posted 3 months ago

Solution by Steps

step 2

The frequency for 1 child is 6 and for 2 children is 4. So, the total frequency for fewer than 3 children is $6 + 4 = 10$

step 3

Next, we find the total frequency of all members in the club by summing the frequencies for all numbers of children: $6 + 4 + 8 + 1 + 1 = 20$

step 4

The probability is then the ratio of the frequency for fewer than 3 children to the total frequency of all members: $\frac{10}{20} = 0.5$

step 5

Converting this probability to a percentage gives us $0.5 \times 100\% = 50\%$

1 Answer

C

Key Concept

Probability as a Ratio

Explanation

The probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

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