the probability of tossing ten dimes and getting all heads or all tails?

of course the bot is wrong again, too complicated for it I guess

Really a simple problem
prob(all 10 heads) = 1/10024
prob(all 10 tails ) = 1/1024

prob(all heads or all tails) = 1/1024 + 1/1024 = 1/512

The probability of tossing ten dimes and getting all heads or all tails is 1 in 1024, or 0.0009765625.