Compound Events & Sample Spaces

Sophie’s Tree Diagram

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Sophie’s Tree Diagram

Sophie conducted a multistage experiment in which she tossed a coin two times. She drew this tree diagram to represent the sample space.

  • How many outcomes does the tree diagram show?
  • What is the probability that Sophie will toss heads both times?
         P(heads, heads)
  • What is the probability that Sophie will toss heads and tails in any order?
         P(heads and tails)

Hint:

  • How many outcomes are in the sample space?
  • How many times does “heads, heads” appear in the sample space?