6) Whst is the probability a. Guessing the 1st, 2nd, and 3rd place finishers in
ID: 3063468 • Letter: 6
Question
6) Whst is the probability a. Guessing the 1st, 2nd, and 3rd place finishers in a horse race with 10 horses in it b. Guessing a 4 digit pin number if you have at most 3 guesses. c. That a couple having 6 children have 3 boys, and 3 girls if having a girl or boy is equally likely d. That a couple having 6 children have 3 boys, and 3 girls if having a girl is twice as likely as having a boy. e. If you have 6 books marked Vol I through VI, and you randomly place them on a boolshelf, what is the probability that you placed them so that at least one book in not is not in its correct place in order? t That you pas a tru/fale quil: with 10 quetions by rnadonily guesing on wuch quentneh pass a true/false quiz with question is worth the same, and you need at least a 65% to pass?Explanation / Answer
Answer (e) :
6 books on the shelf
The probability of at least one book not in the correct position = 1 - Probability of all book in correct position
Total ways of placing books on a shelf = 6*5*4*3*2*1 = 720
Total ways of placing all books in the correct position = 1
The probability of all book in correct position = 1/720
The probability of at least one book not in the correct position = 1 - Probability of all book in correct position
= 1- 1/720 = 719/720
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