If you flip a fair coin 10 times what is the probability of

If you flip a fair coin 10 times, what is the probability of the following (give all answers to 3 decimal places):

Solution

the coin is flipped 10 times then the number of cases in sample spaces will be 2^10

a)getting all tails= only 1 case will happen when all coin will show tail therefore probability = 1/2^10

b))getting all head= only 1 case will happen when all coin will show headl therefore probability = 1/2^10

c) getting at least one tail will be equal to 1 - probability of having no tail

therefore probability will be 1-2^5/2^10 = 1 - 1/2^5