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Question
www.mathxl.com/student/PlayerHomeworkaspxzhomeworkld-476980805&questionld-318flushed-true;&cld; 49138418icenterwin-yes Bailey Marwitz 1 3/1/18 9:16 PM Math 10 Spring 2018 (1) Homework: HW #4 Save Score: 0 of 1 pt 31 of 42 (40 complete) HW Score: 76.63%, 32.18 of 42 pts 4.4.9 Question Help * If you know the names of the remaining nine students in the spotling bee, what is the probability of randomly selecting an order and getting the order that s used in the spelling bee? P(selecting the correct spelling bee order)- [0276 (Type an integer or a simplified fraction) Answer Enter your answer in the answer box and then click Check Final CheckExplanation / Answer
Solution:
The number of students in the spelling bee is 9. The total order of the remaining 9 students in the spelling bee is 9! which is:
9! = 9×8×7×6×5×4×3×2×1
= 362880 ways
The ways in which the remaining six students in the spelling bee are in order is 362880.
The probability of a randomly selected order of students and getting that order in the spelling bee is calculated as,
P = right order/total number of order
= 1/362880
= 0.00683
0.0068
P(selecting the correct spelling order) = 0.0068
The probability of a randomly selected order of students and getting that particular order in the spelling bee is 0.0068.
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