The digits $1$, $2$, $3$, $4$ and $5$ are arranged randomly to form a five-digit number. No digit is

Question

The digits $1$, $2$, $3$, $4$ and $5$ are arranged randomly to form a five-digit number. No digit is repeated. Find the probability that the number is greater than $30\mathrm{ }000$, [1] the last two digits are both even, [2] the number is greater than $30\mathrm{ }000$ and odd. [4]

Accepted Answer

(i) $\dfrac{3}{5}$ (ii) $\dfrac{1}{10}$ (iii) $\dfrac{7}{20}$

N2010 P2 Q8

N2010 P2 Q8

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