If a clean coin is tossed 1,000 times, what is the probability that you will get exactly 500 heads and 500 tails. Show your calculations and thank you for any help.
+128399 The probability of 500 heads = probability of 500 tails
Out of 1000 flips, we want any 500 of them to be heads = C(1000, 500)
Probability of heads on any 1 toss = 1/2 = probabiliy of tails on any one toss
So, we have
C(1000,500) * (1/2)^500 * (1/2)^500 = about .025 = about 2.5%
+128399 The probability of 500 heads = probability of 500 tails
Out of 1000 flips, we want any 500 of them to be heads = C(1000, 500)
Probability of heads on any 1 toss = 1/2 = probabiliy of tails on any one toss
So, we have
C(1000,500) * (1/2)^500 * (1/2)^500 = about .025 = about 2.5%
