The given pie chart shows the different types of fruits in a store. The total number of fruits in the store is 1080

If a fruit is selected at random, then
(a) Find the probability that the selected fruit is an Apricot
(b) Find the probability that the selected fruit is a Kiwi

Options

A. `{:("(a) (b)"),((19)/(60)" "(29)/(60)):}`
B. `{:("(a) (b)"),((17)/(45)" "(7)/(22)):}`
C. `{:("(a) (b)"),((13)/(45)" "(1)/(12)):}`
D. `{:("(a) (b)"),((23)/(50)" "(17)/(40)):}`

Answer

C

Explanation

(i) Central angle for Apricots
`= 360 ^(@) - (56^(@) + 60^(@) + 110^(@) + 30^(@))`
`= 360^(@) - 256 ^(@) = 104^(@)`
`:.` Required probability `= (104^(@))/(360^(@)) = (13)/(45)`
(ii) Required probability ` = (30^(@))/(360^(@)) = (1)/(12)`