Question

which statement is true about whether c and y are independent events?

c and y are independent events because \\(p(c|y) = p(y)\\).
c and y are independent events because \\(p(c|y) = p(c)\\).
c and y are not independent events because \\(p(c|y) \
eq p(y)\\).
c and y are not independent events because \\(p(c|y) \
eq p(c)\\).

Explanation:

Calculate the required probabilities

Using the Two-Way Frequency Tables and Conditional Probability Calculation knowledge points

$$
LATEXBLOCK0
$$

Determine independence

Using the Independent Events knowledge point

$$
LATEXBLOCK1
$$

Answer:

• C and Y are independent events because \(P(C|Y) = P(Y)\).
• C and Y are independent events because \(P(C|Y) = P(C)\).
• C and Y are not independent events because \(P(C|Y)

eq P(Y)\).

• **C and Y are not independent events because \(P(C|Y)

eq P(C)\). (Correct answer)**