A Researcher Is Using a Random Number Table to Pick $5 / 7$

Multiple Choice

A researcher is using a random number table to pick between two groups labelled X and Y. X is to be chosen with a probability of $5 / 7$ and Y with a probability of $2 / 7$ The researcher assigns the digits {1, 2, 3,
4, 5} to X and the digits {6, 7} to Y. The researcher uses this section of a random number table: $$6943047639$$ What are the first and second choices?

A) The first choice is X and the second choice is X
B) The first choice is X and the second choice is Y
C) The first choice is Y and the second choice is X
D) The first choice is Y and the second choice is Y