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A roll of the die

example 1

In how many ways can an odd number appear uppermost on a 10-sided die, numbered 1to10?

Solution

The numbers on the die are 1, 2, 3 . . . 10. There are 5 odd numbers: 1, 3, 5, 7 and 9. So5ways.

example 2

In how many ways can a number divisible by 5 result when a 10-sided die, numbered 1to10,is rolled?

Solution

There are 2 numbers divisible by 5: 5 and 10. So 2 ways.

1The following questions relate to an 8-sided die, numbered 1 to 8.

(a)In how many ways can an even number result?

(b)In how many ways can a number divisible by 3 result?

(c)In how many ways can a number greater than 5 appear?

(d)In how many ways can a number less than 1 appear?

2The following questions relate to a standard 6-sided side, numbered 1 to 6.

(a)In how many ways can the number 6 result?

(b)In how many ways can the number 7 result?

(c)In how many ways can an odd number result?

(d)In how many ways can a number less than 4 appear?

(e)In how many ways can a number greater than 5 appear? A roll of the die

Answers

1(a) 4(b) 2(c) 3(d) 02(a) 1(b) 0(c) 3(d) 3(e) 1

Heinemann VCE Zone: Mathematical Methods 1 & 2 Reed International Books Australia Pty Ltd

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