Maths - Probability qustion types

Maths - Probability qustion types

1. 8 - Minimum-Minimum-Minimum

   • How to recognize a Minimum-Minimum-Minimum Problem.  3x times the word "at least / minimum" in the exercise (can be also in different parts of the task)
   • 3 things can be asked
     • How many times must Kobe throw a basketball to score at least once?
       • How many XYZ
         • cars
         • raisins
         • times
           • How many times do you have to try in order to How many times do you have to throw in order to XYZHow many cars must the police check in order to XYZ
         • Always asking for n or x in the exponent
       • If its not clear what is asked , rephrase the scentence in order to
         • Example:  Buns are made out of 500g of dough.  Each bun weighs 50g  A certain bun chosen randomly should contain minimum one raisin with a probability of at least 99%. How many raisins must be added to the dough?  ->  How many raisins must be added to the dough AT LEAST IN ORDER TO HAVE AT LEAST ONE RAISIN IN THE BUN WITH A PROBABILITY OF AT LEAST 99%? 
     • THat the probability is at least 99.9%
     • What is the p, if the likelyness of the event happening is 99% and you try 26 times?
   • SpaceX builds and lanches rockets. One of the newest spaceships is called Falcon Heavy. Computer models calculated that the probability of a succesful Falcon Heavy Launch is 4/7.
     • How many times does SpaceX has tro send a rocket to space to have at least once a successful launch with a probability of at least 99%?

2. Chapter 7

3. Chapter 9

   • Birthdays
     • P5.6_ Would you bet that there are at least two people in your class whose birthday is on the same day?
   • series of events
     • probability that the 2nd key works
     • probability of getting visited twice by the gost
     • How many keys do you have to try on average until you find the right one
   • Safety test
     • 5.2: When driving in town, 20% of the drivers do not fasten their seat belts. The police stops four cars. What is the probability that a) only the first driver precisely one driver
     • 8.1: When driving in town, 20% of the drivers do not fasten their seat belts. What is the probability that among 4 drivers checked, there is at least one whose belt is not fastened?
     • 3rd one: Idea for exam: How much money will the police gain on average with punishments, it they stop 100 cars and
     • How many