question 3

Soalan / Question 3 Sebiji dadu adalah tidak adil sehingga kebarangkalian melambung 5 adalah 0.75 dan kebarangkalian melambung 1, 2,3, 4 atau 6 semuanya sama. A die is biased so that the probability of throwing a 5 is 0.75 and the probabilities of throwing a 1, 2,3, 4 or 6 are all equal. a) Dadu tersebut dilambung tiga kali. Cari kebarangkalian bahawa hasilnya adalah 1 diikuti dengan 5 diikuti dengan nombor genap. The die is thrown three times. Find the probability that the result is a 1 followed by a 5 followed by any even number. (3 markah/ marks) b) Cari kebarangkalian bahawa, daripada 10 lambungan dadu ini, sekurang- kurangnya 8 lambungan menghasilkan 5. Find the probability that, out of 10 throws of this die, at least 8 throws result in a 5. (3 markah/marks) c) Dadu dilambung sebanyak 90 kali. Dengan menggunakan penghampiran yang sesual, cari kebarangkalian 5 lambungan lebin dari 60 kali. The die is thrown 90 times. Using an appropriate approximation, find the probability that a 5 is thrown more than 60 times. (5 markah/ marks)