Yes, their is in the scrabble dictionary

...and is worth 7 points by itself.

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Their Definition

adjective

Usage Problem His, her, or its: "It is fatal for anyone who writes to think of their sex” ( Virginia Woolf). See Usage Notes at he1, they.
from The American Heritage Dictionary of the English Language, 4th Edition
Used as a modifier before a noun: their accomplishments; their home town.
from The American Heritage Dictionary of the English Language, 4th Edition
Of or relating to them or themselves especially as possessors, , or objects of an action .
from Free Scrabble Dictionary
His or her .
from Free Scrabble Dictionary

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Top Words by points

Points

ither

8

2 letter words with THEIR

Points

er

2

et

2

he

5

hi

5

ti

2

te

2

re

2

it

2

eh

5

3 letter words with THEIR

Points

ire

3

tie

3

the

6

ret

3

rei

3

hit

6

hie

6

het

6

her

6

eth

6

4 letter words with THEIR

Points

hire

7

heir

7

rite

4

thir

7

tier

4

tire

4

5 letter words with THEIR

Points

ither

8

their

8

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