1.A three-course meal at a restaurant consists of a choice of one of 5 salads, o
ID: 3057525 • Letter: 1
Question
1.A three-course meal at a restaurant consists of a choice of one of 5 salads, one of 7 entrees and one of 4 desserts. If a diner chooses each course of her meal randomly, what is the probability that she will choose: a Cobb salad, grilled ribs with corn on the cob, and a slice of boysenberry cobbler.
2. If the letters ACDEINOTU are arranged in order randomly, what is the probability that the arrangement will spell the word "EDUCATION"
3. A phone number(not counting the area code) consists of a sequence of seven digits from 0-9. What is the probability of randomly generating seven digits and getting the phone number of one of the 25 students in a Statistics class ( assume each student has exactly one phone number)
Explanation / Answer
1) total number of arrangement of dinner =5*7*4=140
hence probability that she will choose: a Cobb salad, grilled ribs with corn on the cob, and a slice of boysenberry cobbler =1/140
2)
there are 1 A ; 1 C ; 1 D ; 1 E ; 1 I ; 1N ; 1 O ; 1 T and 1 U in total 9 letters.
total number of arangements =9! =362880
therefore probability that the arrangement will spell the word "EDUCATION" =1/362880
3)
totalnumber of possible sequnce =107 =10000000
hence probability =25/10000000 =1/400000
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.