When 5 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?  Options
A) 1
B) 3
C) 8
D) 31
E) 30
With 5 coins being tossed, you might expect this question to be more difficult than it actually is. The prompt asks for the number of outcomes in which the first and fifth coins are both heads. To start, we can 'lock in' those options.   H _ _ _ H   Now we just have to focus on the possible outcomes for the remaining 3 coins. Mathematically, since each coin has 2 possible outcomes, there are (2)(2)(2) = 8 options.   You could also 'map out' the possibilities:   HHH   HHT   HTH   THH   TTT   TTH   THT   HTT   8 total options.   Final Answer:8
<result>C</result>
When 5 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?