Question

find \\(p(c|y)\\) from the information in the table.

to the nearest tenth, what is the value of \\(p(c|y)\\)?

\\(0.4\\)
\\(0.5\\)
\\(0.7\\)
\\(0.8\\)

Explanation:

Identify the formula for conditional probability

Using the Conditional Probability Calculation knowledge point

$$ P(C|Y) = \frac{P(C \cap Y)}{P(Y)} = \frac{\text{Frequency of } C \text{ and } Y}{\text{Total frequency of } Y} $$

Extract values from the table

Using the Two-Way Frequency Tables knowledge point

$$
LATEXBLOCK0
$$

Calculate the probability

Using the Conditional Probability Calculation knowledge point

$$ P(C|Y) = \frac{15}{30} = 0.5 $$

Answer:

• 0.4
• 0.5 (Correct answer)
• 0.7
• 0.8