Let $\xi=\{1,2,3,\ldots,27\}$, $P=\{x:x\text{ is prime}\}$ and \(M=\{x:x\text{ is a multiple of

Question

Let $\xi=\{1,2,3,\ldots,27\}$, $P=\{x:x\text{ is prime}\}$ and $M=\{x:x\text{ is a multiple of }3\}$. List the elements of $P\cap M$. State whether $P\subset M$. Give a reason. A number is selected at random from $\xi$. Find the probability that it belongs to $P\cup M$.

Accepted Answer

(a) $\{3\}$; (b) no; (c) $\frac{17}{27}$.

Sec 3/4 E Math T12-Q28 - Subsets defined by number properties

Sec 3/4 E Math T12-Q28 - Subsets defined by number properties

Solution:

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