The [tex]\text{\bf second table}[/tex] is conditional relative frequency table.
Further explanation:
Conditional relative frequency is determined based upon a row or column. It is the ratio of a frequency in the center of the table to the frequency’s row total or column total. In the conditional relative frequency table, the “total” column will sum to [tex]1[/tex].
The given tables represent the different conditional probability.
Therefore, the sum of the conditional probability is [tex]1[/tex] in their column.
In the first frequency table, the sum of the total column can be calculated as follows:
[tex]\boxed{1+1=2}[/tex]
The total probability of the conditional relative probability cannot be greater than [tex]1[/tex].
Therefore, Table 1 (attached in the end) is not the conditional relative frequency table.
In the second frequency table, the sum of the “total” column can be calculated as follows:
[tex]\boxed{0.50+0.50=1}[/tex]
The total probability of the conditional relative probability is [tex]1[/tex].
Therefore, Table 2 is the conditional relative frequency table.
In the third frequency table is, the sum of the total column can be calculated as follows:
[tex]\boxed{1+1=2}[/tex]
The total probability of the conditional relative probability cannot be greater than [tex]1[/tex].
Therefore, Table 3 is not the conditional relative frequency table.
Thus, Table 2 is the only conditional relative frequency table.
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Probability
Keywords: Probability, ratio, row, column, total column, marginal frequency, joint frequency, distribution, sum, possible outcomes, event, two way table.
