Answer:
An external conflict between the narrator and her mother over whether the girl on television is playing well.
Explanation:
This is the passage from "Two Kinds" that the question refers to:
<em>In spite of these warning signs, I wasn't worried. Our family had no piano and we couldn't afford to buy one, let alone reams of sheet music and piano lessons. So I could be generous in my comments when my mother bad-mouthed the little girl on TV.</em>
<em>"Play note right, but doesn't sound good! No singing sound," complained my mother.</em>
<em>"What are you picking on her for?" I said carelessly. "She's pretty good. Maybe she's not the best, but she's trying hard." I knew almost immediately I would be sorry I said that.</em>
<em>"Just like you," she said. "Not the best. Because you not trying." She gave a little huff as she let go of the sound dial and sat down on the sofa.</em>
<em>The little Chinese girl sat down also to play an encore of "Anitra's Dance" by Grieg. I remember the song, because later on I had to learn how to play it.</em>
In this passage, we see that the narrator believes the girl to be doing well when playing the piano because she is trying her best. However, we also learn that the narrator's mother disagrees with this sentiment. She believes that the girl is not doing a good job. In this passage, the conflict that takes place is external, and it involves a conflict between the narrator and her mother over whether the girl on TV is playing well.