Most people who are skilled banjo players are also skilled guitar players. ███ ████ ██████ ███ ███ ███████ ██████ ███████ ███ ███ ███████ █████ ████████
Most skilled banjo players are also skilled guitar players. However, most skilled guitar players are not skilled banjo players.
There are more skilled guitar players than skilled banjo players. This must be true because we know that a majority of skilled banjo players are skilled guitar players, but only a minority of skilled guitar players are skilled banjo players. So the group of people who are both skilled banjo and skilled guitar players is a majority of the skilled banjo set. But they're only a minority of the skilled guitar set. This implies the skilled guitar set is larger than the skilled banjo set.
If the statements above are █████ █████ ███ ██ ███ █████████ ████ ████ ██ █████
There are more ██████ ███ ███ ███████ ██ ███████ ████ ███ ██████ ███ ███ █████ ████ █████ ███ ██████ ███ ███ ███████ ██ ███████ ████ ███ ██ ███ ███ ████████████
Must be false. We know that the group of people who are both skilled at banjo and skilled at guitar is only a minority of the skilled guitar group. So there must be more people who are skilled only at guitar than who are skilled at both guitar and banjo.
A person trying ██ █████ ███ ██ ████ ███ ██████ ██ ████ ██████ ██ ███████ ██ █████ ██ ████ ██ █ ██████ ██████ ██ █████ ███ ██ ████ ███ ██████
Could be false. The stimulus does not give us any information about which group is more likely to succeed. It is possible that more people are likely to succeed at playing the banjo, but the banjo just isn’t as popular.
Playing the guitar █████ ████ █████ ████ ███████ ███ █████ █████
Could be false. The stimulus does not give us any information about what instrument requires more skill. It is possible that playing the banjo requires more skill.
There are more ██████ ███ ███ ███████ ██ ███████ ███ ██████ ████ █████ ███ ██████ ███ ███ ███████ ██ ███████ ███ ██████
Must be true. This is the only way it could both be true that most skilled banjo players are skilled guitar players and that only a minority of skilled guitar players are banjo players.
There are more ██████ ███ ███ ███████ ██ ███████ ███ █████ ████ █████ ███ ██████ ███ ███ ███████ ██ ███████ ███ ███████
Must be false. There must be more people who are skilled guitar players but not skilled banjo players.