2. A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
Exactly 3 consecutive heads out of 5 tosses:
HHHTT
HHHTH
THHHT
TTHHH
HTHHH
Exactly 4 consecutive heads out of 5 tosses:
HHHHT
THHHH
Exactly 5 consecutive heads out of 5 tosses:
HHHHH
That's 8 desired outcomes out of 2^5 possibilities, so 8/32 or 1/4.

















