5 whole numbers are randomly chosen and multiplied . Then find : a) probability that last digit is 5 . b) probability that last digit is 0

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'n' whole numbers are randomly chosen and multiplied, then probability that

$\begin{matrix} C o l u m n I & C o l u m n I I (A) t h e l a s t d i g i t i s 1, 3, 7, o r 9 & (P) \frac{8^{n} - 4^{n}}{10^{n}} (B) t h e l a s t d i g i t i s 2, 4, 6, r 8 & (Q) \frac{5^{n} - 4^{n}}{10^{n}} (C) t h e l a s t d i g i t i s 5 & (R) \frac{4^{n}}{10^{n}} (D) t h e l a s t d i g i t i s z e r o & (S) \frac{10^{n} - 8^{n} - 5^{n} + 4^{n}}{10^{n}} \end{matrix}$

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$\begin{matrix} Column I & Column II (a) & The last digit is 1,3,7 or 9 & (p) & \frac{8^{n} - 4^{n}}{10^{n}} (b) & The last digit 2,4,6,8 & (q) & \frac{5^{n} - 4^{n}}{10^{n}} (c) & The last digit is 5 & (r) & \frac{4^{n}}{10^{n}} (d) & The last digit is zero & (s) & \frac{10^{n} - 8^{n} - 5^{n} + 4^{n}}{10^{n}} \end{matrix}$

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