Final answer:
Option B, which describes the sister's generosity, does not support the topic sentence about her occasional angry outbursts and is therefore not a good supporting sentence for the example paragraph.
Step-by-step explanation:
The sentence which would not be a good supporting sentence for an example paragraph with the topic sentence "While my sister is pretty laid back, there have been a few times that she has flown off the handle" is option B: "She is also a really generous person and is always giving money to those less fortunate." This sentence does not provide an example of the sister flying off the handle, but rather describes a character trait that is irrelevant to the topic of her occasional angry outbursts. The other options all describe situations where the sister might have lost her temper, which supports the topic sentence.