University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

335

Pages:

2
Author:

Aryan Henderson

Probability: Day 3 How many ways.... Can I make a committee of three people from a class of 10 students? What would the sample space look like? ABC AFG ABD Does order of students matter? ACD AGH ABE ADE AHI ABB AEP AIZ ABG Permutation 1) How many different ways can you arrange the letters in the word MATH? MATH MHAT 6 total /" steing MAHT ΜΗΤΑ MTAH MTHA 2) Your rock band has nine songs recorded, but you want to make a set-list of five of them for a short concert. How many possible ways could the songs be arranged on your set-list? Song Song Song Song Sove 9 8.7.6.5 Member Member #2 טו 9 8 =720 diff A. Start Total Place! Placez Places Poi choice 3chace 2choice, ches T Start 24 H shily 6.1 15,120 =24 tot/ 3) A witness saw a car drive away from an accident. She knows the license plate had the letters E, H, M. A, and W. There were two numbers (different from each other) at the front. How many license plates are possible? 1095432 = 10,800 We can use permutations to find the number of outcomes when a sample space is large...and then use the sample space to find the probability of events occurring. 4) A small parade is going to have 12 floats. What is the probability that your soccer team's float is first, and that the school cheerleaders are the second float? One chance of soccer then cheer 132 3,0075 we first cheyond Sometimes, probabilities combine and we need a different tool.... A school has 40% of students taking AP courses. Of those taking AP courses, 85% are planning to go directly to a 4-year college. 24% of the other students are planning to go directly to a 4-year college. Probability Tree AP Student 40 Non AP Student 160 4-year college 85.34 Not 15ء =.06 4-year.24 144 Not 76,456 Once the probabilities are arranged this way, we can use them to answer questions: 5) What is the probability that a student is planning to go directly to a 4-year college? 34+,144 484 plan on gong directly to a 4-year collec 6) What is the probability that a student who is not going directly 10 a 4-year college was not taking AP classes? AP and 456 1516