Question

A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes
1. Contain no heads?
2. Contain exactly three heads? 3. Contain at least three heads? 4. Contain more heads than tails?

Answer 1

Answer:

a) Each flip can be either heads or tails, so there are 210 = 1024 possible outcomes. b) To specify an outcome that has exactly two heads, we simply need to choose the two flips that came up heads. There are C(lO, 2) = 45 such outcomes.

Answer 2

Answer:

Each flip can be either heads or tails, so there are 210 = 1024 possible outcomes. b) To specify an outcome that has exactly two heads, we simply need to choose the two flips that came up heads. There are C(lO, 2) = 45 such outcomes.