Question

You roll a single die. Find each of the following.(a) The Odds in Favour of rolling a "five".(b) The Odds Against rolling a multiple of "three"

Answer 1

(a) 1/6

(b) 2/3

Step-by-step explanation

In a single roll of a die, the sample space is {1, 2, 3, 4, 5, 6}

(a) The odds in favour of rolling a ''five''.

The possible outcome of five is 1.

Therefore, the odds in favour of rolling a ''five'' will be:

`P(rolling\text{ }a\text{ }five\rbrace=(1)/(6)`

(b) The Odds Against rolling a multiple of "three".

Multiple of three is {3, 6).

`P(multiple\text{ }of\text{ }three)=(2)/(6)=(1)/(3)`

Hence, the odds against rolling a multiple of three will be:

`1-(1)/(3)=(2)/(3)`