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Each of the 12 students in a class is given a fair
Chapter 1, Problem 17E(choose chapter or problem)
PROBLEM 17E
Each of the 12 students in a class is given a fair 12-sided die. In addition, each student is numbered from 1 to 12.
(a) If the students roll their dice, what is the probability that there is at least one “match” (e.g., student 4 rolls a 4)?
(b) If you are a member of this class, what is the probability that at least one of the other 11 students rolls the same number as you do?
Questions & Answers
QUESTION:
PROBLEM 17E
Each of the 12 students in a class is given a fair 12-sided die. In addition, each student is numbered from 1 to 12.
(a) If the students roll their dice, what is the probability that there is at least one “match” (e.g., student 4 rolls a 4)?
(b) If you are a member of this class, what is the probability that at least one of the other 11 students rolls the same number as you do?
ANSWER:
Answer :
Step 1 of 2:
Each of 12 students in a class is given a fair 12-sided die. In addition,each student is numbered from 1 to 12.
a).
If the students roll their dice,we have to find the probability that there is at least one “match” .
Here A={at least one match} and
=none of them “match”
So P(A) = 1 - P()
P(at least one ‘match’) = 1-P(none of them “match”)
P(at least one ‘match’) = 1-
P(at least one ‘match’) = 1-