1. Use these link to learn about probability questions. I enjoy questions about throwing a die or a pair of dice along with tossing coins and poker hands. Remember some important outcome totals:

    • 52 cards in a deck. Drawing first card: 52 ways, second 51 ways, ... That is 52*51*50*49*48 which would be the permutation formula result. But this implies that a hand with that drew A-diamonds before A-hearts and three other cards is a completely different hand from one that drew the A-hearts first then the A-diamonds and three other cards. In poker and most card games, these are the same hands and we must 'divide out' the duplicates. Therefore, there are 52 C 5 total ways of having a 5-card hand.
    • 6 sides to a die. If you toss it 5 times for a game like Yahtzee. Then there are 6^5 outcomes. (notice the use of exponential formula since same answer is possible (counting ways WITH replacing)
    • 36 outcomes for any pair of dice rolled (6*6). Double only occur once!!! 1-1, 1-2, 1-3,...2-1, 2-2, 2-3, ... 6-1, 6-2, ...6-6
      (Do a tree diagram to prove for yourself and list all 36 outcomes)
      Outcomes like 2-3 and 3-2 are not considered duplicates like the card hands as they are each independent events and treated like individual rolls each.

    Use these links to learn more

  2. Review the videos and notes below with the hopes they make sense.
  3. Do the homework from the textbook listed on moodle

*** Practice Questions: ***

  1. What is the probability of getting a three of a kind of 10's or better in a 5-card hand?
  2. What is the probability of getting at least 4 heads in 7 tosses of a fair coin?
  3. What is the probability of never seeing a sum of 7 in 20 tosses of a pair of dice?
  4. What is the probability of getting rolling a sum of 2, 3, or 12 at least 3 times in 5 tosses of a pair of dice?

*** Practice Solutions: ***

Question 4