Question

A dart board has 10 equally sized slices number 1 to 10. some are grey some are white

Answer 1

x = The event the dart land on a grey slice

p(x) = probability of x

The first row corresponds to the event that the dart lands on the grey slice. This means we have to tick 1, 7, and 9. The 1, 7, and 9 are the events x that the dart land on the grey slice. The probability of x can be calculated below

`p(x)=\frac{\text{ number of favourable outcome}}{\text{total number of outcome}}=(3)/(10)=0.3`

not x = The event that the dart land on the slice that is not grey.

p(not x) = probability of not x

The second row corresponds to the event that the dart does not land on the slice that is grey. This means the event that the dart lands on the slice that is white. Therefore, we have to tick 2, 3, 4, 5, 6, 8, 10.

The probability of not x can be calculated below

`p(not\text{ x)=1-}(3)/(10)=(7)/(10)=0.7`