Why is the population of a globular cluster primarily composed of older, cooler, and redder stars?
Answer
The massive, short-lived stars have already burned out over time
Globular clusters are extremely old, often exceeding 10 billion years in age. Because they have existed for such a vast duration, their original population of high-mass, hot, and luminous stars has completed their life cycles and died out. This leaves behind the longer-lived, cooler, and redder stars, which dominate the current stellar composition of the cluster.

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