The Venn diagram below shows events A and B where $P(A) = 0.3$, $P(A ∪ B) = 0.6$ and \(P(A

Question

The Venn diagram below shows events A and B where $P(A) = 0.3$, $P(A ∪ B) = 0.6$ and $P(A ∩ B) = 0.1$. The values $m, n, p$ and $q$ are probabilities.

[4]
1. Write down the value of $n$.
  [4]
2. Find the value of $m$, of $p$, and of $q$.
Find $P(B')$.
[2]

Accepted Answer

(a)(i) $n = 0.1$ (a)(ii) $m = 0.2; p = 0.3; q = 0.4$ (b) $P(B^{\prime}) = 0.6$

Complete Venn-region probabilities and calculate a complement.

Complete Venn-region probabilities and calculate a complement.

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