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In a power outage, Claire must select an outfit in the dark from her closet. She has three pairs of pants (jeans, track pants, dress pants) and two shirts (plaid, striped). To analyze her outfit choices, we can draw a probability tree and calculate the likelihood of various combinations, including the probability of her wearing a plaid shirt with jeans (1/6) and not wearing track pants (4/6). This exercise can be applied to various decision-making scenarios by creating probability tables and understanding compound events.

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  1. TRY NOW In a power outage, Claire has to reach into her closet in the dark to get dressed.  She is going to find one shirt and one pair of pants.  She has three different pairs of pants hanging there: one pair of jeans, one pair of track pants, and one pair of dress pants.  She also has two different shirts: one plaid and one stripped. • Draw a probability tree to organize the different outfit combinations Claire might choose.  • What is the probability that she will wear both a plaid shirt and jean pants?   • What is the probability that she will not wear the track pants?   • For what kinds of problems can you also make a probability table?  If it is possible, make a probability table for Claire’s outfits. 

  2. TRY NOW TOTAL # of outcomes: 6 Jeans Dress pants Track pants Plaid shirt Striped shirt Plaid shirt Plaid shirt Striped shirt Striped shirt d) Table: you may only use 2 outcomes to make a table It is possible to make a table for Claire’s situation b) P( plaid + jeans): 1/6 c) P( no track pants): 4/6

  3. YOUR TASK Complete problems: 5-149 through 5-153 Homework: Vocabulary Words

  4. Homework: Vocab. Directions: Define the following vocabulary words in your notebook. Look in the book. • Ratio • Equivalent Ratio • Fair game • Unfair game • Complement • Dependent Event • Independent Event • Probability table • Compound events • Systematic Lists

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