Advanced Math Descion Making Help

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Advanced Math Descion Making Help

AMDM Name________________________________

Activity 5 Conditional & Compound Probability v C Date___________________Period_________

Draw a Venn diagram to model the following situations and find the listed probabilities.

  1. In New York State, 48% of all teenagers own a skateboard and 39% of all teenagers own a skateboard and rollerblades. 5% of teenagers own neither.
  1. P(skateboard and rollerblades)
  1. P(only rollerblades)
  1. P( rollerblades | skateboard)
  1. Would you tell a friend that is more popular to own a skateboard or rollerblades?

Steps to create the venn diagram:

  1. Pick the categories and label your circles. (Hint: Make sure they will have an intersection…can the two categories happen at the same time?)
  2. Label the sample space (total people/population) on the outside of the venn diagram.
  3. Place the information in the venn diagram. (Hint: “and” is the intersection, “neither” is outside of the circles.)
  1. In the United States, 56% of all children get an allowance and 41% of all children get an allowance and do household chores. 15% of all children do neither.
  1. P(household chores only)

  1. P(neither allowance nor chores)
  1. Based on the data, would your parents think they were in the majority to only give you an allowance?

Steps to create the venn diagram:

  1. Pick the categories and label your circles. (Hint: Make sure they will have an intersection…can the two categories happen at the same time?)
  2. Label the sample space (total people/population) on the outside of the venn diagram.
  3. Place the information in the venn diagram. (Hint: “and” is the intersection, “neither” is outside of the circles.)

Draw a tree diagram to model the following situations and find the listed probabilities.

  1. Jody had four bottles of soft drinks – one bottle of cola, one of root beer, one of ginger ale, and one of orange. She chooses to take ginger ale and two other bottles to a party.
  1. P(ginger ale and cola)

  1. P(ginger ale, orange, and root beer)
  1. P(orange or cola)

Steps to create the tree diagram:

  1. Determine the first action and how many choices for that action. (Hint: What do you do first?)
  2. Determine each subsequent action and how many choices for each action. These are the layers of the tree diagram.
  3. Label each branch with the appropriate weight (probability).

  1. Tristan is taking a driving test. In preparation, his driving instructor has Tristan attempt to parallel park two times. He successfully parallel parks his car 78% of the time.
  1. P(success both attempts)
  1. P(success on the first attempt only)

  1. P(success on either attempt)
  1. Based on the data, is Tristan likely to successfully parallel park during his driving test?

Steps to create the tree diagram:

  1. Determine the first action and how many choices for that action. (Hint: What do you do first?)
  2. Determine each subsequent action and how many choices for each action. These are the layers of the tree diagram.
  3. Label each branch with the appropriate weight (probability).