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Home > PC > Chapter 7 > Lesson 7.3.3 > Problem 7-122

7-122.

Álex Rodríguez gets a hit of the time.

  1. Draw a tree diagram to show the possible outcomes of Rodríguez coming to bat three times.

    Tree with 2 branches labeled 0.7 & 0.3, each splits into the same 2 branches, each of the 4 branches split into the same 2 branches again. 

  2. Find the probability Rodríguez gets hits.

    Added to tree diagram, shading on 3 top branches each labeled 0.7.

  3. Find the probability Rodríguez gets hits.

    Added to tree diagram, shading on 3 bottom branches each labeled 0.3.

  4. Find the probability Rodríguez gets hit.

    3 possibilities. Find each and take their sum.

    Added shading on top 3 branches

  5. Find the probability Rodríguez gets hits.

    3 possibilities. Find each and take their sum.