Maths - probability coin toss!?

2000 coin flips.

Odds of 10 or more heads or tails?
hhhhhhhhhh or tttttttttt

Odds of 10 or more alternating heads and tails?
hththththt or ththththth
Update: I was thinking, it's 0.5x0.5x0.5x0.5x0.5x0.5x0.5x0.5x0.5x0.5 = 0.0009765 then 1 / 0.0009765 = 1024, so 2000/1024 = 1.95 of the 10 in a row.
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