Each of the 12 students in a class is given a fair 12 sideddie. In addition, eac

Question

Each of the 12 students in a class is given a fair 12 sideddie. In addition, each student is numbered from 1 to12. a) If the students roll their dice, what is the probabilitythat there is atleast one "match" like student 4 rolls a 4? b) If you are a member of the class, what is the probabilitythat at least one of the other 11 students rolls the same numberthat you do? Each of the 12 students in a class is given a fair 12 sideddie. In addition, each student is numbered from 1 to12. a) If the students roll their dice, what is the probabilitythat there is atleast one "match" like student 4 rolls a 4? b) If you are a member of the class, what is the probabilitythat at least one of the other 11 students rolls the same numberthat you do?

Explanation / Answer

P(not matching) = 11/12. P(all not matching) = (11/12)^12 P(at least 1 matching) = 1 - (11/12)^12 = .648 P(1 person not rolling the same number as you) = 11/12 P(11 people not rolling the same number as you) = (11/12)^11 P(at least 1 rolling the same number as you) = 1 - (11/12)^11 =.616

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.