Step 1: Understanding the Concept
An extra chromosome in a pair is called trisomy and arises from non-disjunction.
Step 2: Trisomy 21
Three copies of chromosome 21 give 47 chromosomes and cause Down's syndrome.
Step 3: Compare the options
Turner's syndrome is 45, XO, Klinefelter's syndrome is 47, XXY, and thalassemia is a single-gene blood disorder.
Final Answer:
An extra chromosome 21 causes Down's syndrome.
\[ \boxed{\text{(D) }\text{Down's syndrome}} \]