Averages and Probability#4

The probability of 5 heads and 5 tails coming is $\frac{{10}\choose{5}}{2^{10}}≈25\%$ which is the highest probability compared to 4 heads,7 heads,etc..

Yes, because the chance of getting heads is equal to the chance of getting tails (assuming a fair Coin). That means, that on average, we would expect 1/2*10=5 tails and 5 heads to be the likeliest outcome.