Probability for compound events

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Intros
Lessons
  1. Introduction to Basic Probability for Compound Events:
  2. Simple vs. Compound Events in Probability
  3. Probability Trees
  4. Strategies for Listing Compound Outcomes
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Examples
Lessons
  1. Compound event outcomes and probability trees
    Fill in the probability tree and list the outcomes for:
    1. Spinning a two-part spinner twice.
      Probability for compound events
    2. Rolling two six-sided dice
      Probability for compound events
  2. Probability of compound events
    Find the probability for:
    1. Using a three-part spinner and:
      Probability for compound events
      1. spinning yellow twice in a row.
      2. spinning blue once and red once.
      3. spinning yellow first and then red second.
    2. Flipping a coin then spinning a two-part spinner and:
      Probability for compound events
      1. The coin lands on head, and the spinner lands on red.
      2. The coin lands on tail, and the spinner lands on blue.
    3. Spinning the arrow on spinner #1 then on spinner #2 and:
      Probability for compound events
      1. both spinner #1 and #2 land on red.
      2. one spinner lands on red and the other lands on blue.
      3. spinner #1 lands on yellow, spinner #2 lands on blue.
  3. Probability for compound events: word problem
    In a board game, each player needs to roll two dice at the same time during their turn.
    1. How many total outcomes are there?
    2. There are bonus points for rolling some combinations in this game. What are the probabilities of:
      1. Rolling two-6s.
      2. Rolling two of the same number.
      3. Rolling a sum greater than 8.
      4. Rolling a sum less than 4.
    3. Which outcome for bonus points is the most likely for this game? Use the answers from the previous part.
    4. Using theoretical probability, write the expected results.
      1. If you roll the dice 36 times, how many times will you roll one 5 and one 6?
      2. If you roll the dice 360 times, how many times will you roll two-6s?
      3. If you roll the dice 120 times, how many times will roll two of the same number?