An integer is selected at random from the integers 1 to 50 inclusive.
\(A\) is the event that the integer selected is prime.
\(B\) is the event that the integer selected ends in a 3
\(C\) is the event that the integer selected is greater than 20
The Venn diagram shows the number of integers in each region for the events \(A , B\) and \(C\)
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Describe in words the event \(( A \cap B )\)
Write down the probability that the integer selected is prime.
Find \(\mathrm { P } \left( [ A \cup B \cup C ] ^ { \prime } \right)\)
Given that the integer selected is greater than 20
find the probability that it is prime.
Using your answers to (b) and (d),
state, with a reason, whether or not the events \(A\) and \(C\) are statistically independent.
Given that the integer selected is greater than 20 and prime,