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(d) is true

Explanation:

Given

Required

Which of the options is true

A) P(Brown) = P(Not Brown)

P(Brown) is calculated as:

P(Not Brown) is calculated as:

--- Complement rule

Solve

Both are not equal.

Hence, (a) is not true

(b) P(Brown) < P(Not Brown)

In (a) above

By comparison;

Because:

Hence, (b) is not true

(c) P(Not Brown) > P(Brown)

This is the same as (b)

i.e. both conditions represent the same.

Hence, (c) is incorrect

(d) P(Brown) > P(Not Brown)

In (b), we established that

Because:

Hence, (d) is true