Edexcel IGCSE Math A 6.3.D probabilities from Venn diagrams

Practise Venn-probability questions by reading each region correctly, using the total and applying any given condition stated.

Exam points

Find probabilities from Venn regions using the correct total or conditional total.
Use intersections and outside regions to handle both-and or neither events.
Complete missing Venn entries before calculating a requested probability.

[Maximum number: 2]

100 farmers are asked if they have goats (G), sheep (S) or chickens (C) on their farms.
Of these farmers
31 have sheep
53 have chickens
6 have goats, sheep and chickens
11 have sheep and goats
17 have sheep and chickens
18 have goats and chickens
20 do not have any goats, sheep or chickens

Find the probability that this farmer also has goats.

Final answer:
$\frac{18}{53}$

Accept $0.33\ldots$ or $33.96\ldots\%$ . Follow through from the candidate's Venn diagram.

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6.3.D Probabilities from a Venn diagram question 1