josecalderon759 josecalderon759
  • 09-08-2020
  • Mathematics
contestada

Identify the sample space in the following tree diagram

A.) H, T
B.) TTT, TTH, THT, THH, HTT, HTH, HHT, HHH
C.) HHH, THH, TTH, TTT
D.) HT, TH, TT, HT

Identify the sample space in the following tree diagram A H T B TTT TTH THT THH HTT HTH HHT HHH C HHH THH TTH TTT D HT TH TT HT class=

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jimthompson5910 jimthompson5910
  • 09-08-2020

Answer: Choice B

There are 2 sides per coin, and 3 flips, so 2^3 = 8 total items in the sample space

  1. HHH
  2. HHT
  3. HTH
  4. THH
  5. HTT
  6. THT
  7. TTH
  8. TTT

Tracing each branch from left to right will help form the 8 different outcomes. For instance, if you go along the upper most path of the upper tree, then you'll get HHH meaning you got 3 heads in a row. The next branch down would be HHT, and so on.

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