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Sia

Question
Math
Posted 7 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%20 \%
(B) 40%\mathbf{4 0 \%}
(c) 50%50 \%
(D) 80%80 \%
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Answer from Sia
Posted 7 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=106 + 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=206 + 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: 1020=0.5\frac{10}{20} = 0.5
step 5
Converting this probability to a percentage gives us 0.5×100%=50%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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