A fair coin is tossed. How likely is it to land half heads, half tails if it is tossed 10 times? 20 times?

1 Answer
Dec 15, 2017

"The probability is 0.246 if it is tossed 10 times and 0.176 if it"The probability is 0.246 if it is tossed 10 times and 0.176 if it "is tossed 20 times."is tossed 20 times.

Explanation:

C(10,5) (1/2)^10 = 0.246C(10,5)(12)10=0.246
andand
C(20,10) (1/2)^20 = 0.176C(20,10)(12)20=0.176
withwith
C(n,k) = (n!)/((n-k)!k!)C(n,k)=n!(nk)!k!