Higher June 2025 Paper 2 Q20

20 120 gardeners were asked if they grow carrots (\(C\)) or potatoes (\(P\)) or tomatoes (\(T\))

Of these gardeners

43 grow carrots
12 grow carrots and potatoes and tomatoes
18 grow carrots and potatoes
27 grow carrots and tomatoes
32 grow potatoes and tomatoes
29 do not grow carrots or potatoes or tomatoes

The number of these gardeners who grow only potatoes is equal to the number of these gardeners who grow only tomatoes.

One of the gardeners who grows carrots is chosen at random.