Please help ASAP: A fair coin is flipped four times. Find:
(A) The probability it will land up heads each time.
(B) the probability it will land the same way each time (slightly different from (A))

Question

Please help ASAP: A fair coin is flipped four times. Find: 
(A) The probability it will land up heads each time. 
(B) the probability it will land the same way each time (slightly different from (A))

ybarrap · Answer

A) Let p be the probability of success, in this case heads. Then probability of getting 4 heads is $pppp=p^4$, where p=1/2.

B) Here we have two cases: all heads or all tails. By symmetry, we have the same probability of four tails in a row as in Part A. So the total probability of either all heads or all tails is $2p^4$