August
1997 QUESTION 2 Total Marks: 20 Marks |
Click here to access other
questions
Click to access |
| 2. | (a) A regular octahedron, which has eight triangular faces numbered from 1 to 8, is to be used as a die. The score for a throw is the number on the face which is uppermost when the die is thrown on a horizontal table. If two such dice are thrown, find the probabilities of the following. | ||
| (i) The total score on the two dice is at least 14. | [4] | ||
| (ii) The difference between the scores on the two dice is two. | [4] | ||
| (b) Two players A and B throw both dice in turn, A throws first. The first player to obtain a difference of two between the scores on the dice is the winner of the game. Find the probability that | |||
| (i) A wins at his first throw | [2] | ||
| (ii) B wins at his first throw | [5] | ||
| (ii) A wins at his third throw | [5] | ||