Cabrillo Students (made-up data)
Number of Students: / Age:25 or under / Over
25
Transfer Program / 6,482 / 2,188
CTE (Voc Ed) Program / 1,955 / 4,043
Lifelong-Learning / 270 / 2,596
1) If a Cabrillo student is selected at random, what is the probability that:
The student is in the Transfer Program? A Lifelong-learner? Young (age 25 or younger) or in the Transfer Program? Lifelong-Learner and is younger? In CTE given that they’re older? Older? Older given that they’re a Lifelong-learner?
Poker, Texas Hold’em.
In Texas Hold’em you’re dealt two cards.
Then there are five more cards dealt on the table that you use to form a 5 card poker hand.
2) You have 2 Clubs in your hand. Four cards are dealt on the table. There is one more card to be dealt. On the table, there are two more clubs. What are your chances (probability) of hitting the flush (5 clubs) with the last dealt card (“on the river”)?
3) Similar to above, but there are two cards left to deal. You’ve got 2 clubs. Three cards are on the table, two of which of clubs. What are your chances of hitting a flush in either of the next two cards?
4) The first two cards you’re dealt: what are your chances (probability) of being dealt “pocket rockets”, two aces? Probability of being dealt 2 kings? Probability of being dealt any pair? Probability of being dealt “big slick”, an ace and a king? Probability of being dealt AA, KK, or AK?
Basketball: making free throws.
5) Historically, a basketball player has made 863 / 1041 free throws. What is the probability of hitting his next free throw? What method did you use to get the probability?
6) What is the probability of making 2 free throws in a row? What is the probability of making three in a row? Probability of making 2 out of 3? Missing 3 out of 3?
California Lottery. Find the chance of winning each of the following:
7) Fantasy 5 Lottery: you pick 5 numbers between 1 and 39
8) Mega Millions: you pick 5 numbers between 1 and 75. You then pick a “Mega” number 1-15
9) Powerball: you pick 5 from 1-59. You then pick a “Powerball” from 1-35
10) If Fantasy 5 required you to pick the numbers IN ORDER, what is the probability of winning?
MP3 Player. My MP3 player has 42 Jimmy Buffett songs, 37 Eliane Elias songs, 19 Marcus Roberts songs, and 12 songs by other artists. The MP3 player is set so that songs are selected at random to be played without replacement. I will listen to only three songs.
11) What is the probability that all 3 songs are by Jimmy Buffett? Probability of the three songs, IN ORDER, are by Jimmy Buffett, followed by Eliane Elias, followed by Marcus Roberts? Probability that one song each of Buffett, Elias, and Roberts is played, in any order? Probability of Jimmy Buffet’s “Cheese Burger in Paradise” song is played first? Probability “Cheeseburger in Paradise” is played at all (any of the first three)? Probability that exactly one song by other artists is played? Probability that at least one song by other artists is played?
12) How many different 3 song choices are possible if order matters? If order doesn’t matter?
Homework: due Monday, March 10:
Section 5.4, #38, #42
Section 6.1, #42, #44
Section 6.2, #34