Probability for compound events

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Intros

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Lessons

Simple vs. Compound Events in Probability
Probability Trees
Strategies for Listing Compound Outcomes

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Examples

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Lessons

Compound event outcomes and probability trees
Fill in the probability tree and list the outcomes for:
1. Spinning a two-part spinner twice.
2. Rolling two six-sided dice
Probability of compound events
Find the probability for:
1. Using a three-part spinner and:
  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:
  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:
  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.
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?