Referring to Example 1.9, suppose that we modify it as follows: The respondent tosses a green die (with the outcome unknown to the interviewer). If the outcome is odd, he responds to the Q-question; otherwise, he responds to the question “Were you born in April?” Again, the interviewer observes only the answer “yes” or “no.”

Apart from the obvious difference in the frequency of the answer “yes” to the auxiliary question (on the average 1 in 12 instead of 1 in 6), are there any essential differences between this scheme and the scheme in Example 1.9? Explain your answer.