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Question Number 10116 by Gaurav3651 last updated on 25/Jan/17
$${what}\:{is}\:{the}\:{probability}\:{of}\:\mathrm{5}\:{sundays} \\ $$$${in}\:{the}\:{month}\:{of}\:{december}? \\ $$
Commented by prakash jain last updated on 25/Jan/17
$$\mathrm{Favorable}\:\mathrm{cases}−\:\mathrm{1}\:\mathrm{dec} \\ $$$$\mathrm{1}\:\mathrm{dec}\:\mathrm{Sunday}\Rightarrow\mathrm{1},\mathrm{8},\mathrm{15},\mathrm{22},\mathrm{29}\:\mathrm{are}\:\mathrm{sundays} \\ $$$$\mathrm{1}\:\mathrm{dec}\:\mathrm{Saturday}\:\Rightarrow\mathrm{2},\mathrm{9},\mathrm{16},\mathrm{23},\mathrm{30}\:\mathrm{are}\:\mathrm{sundays} \\ $$$$\mathrm{1}\:\mathrm{dec}\:\mathrm{Friday}\:\Rightarrow\mathrm{3},\mathrm{10},\mathrm{17},\mathrm{24},\mathrm{31}\:\mathrm{are}\:\mathrm{sundays} \\ $$$$\mathrm{if}\:\mathrm{1}\:\mathrm{dec}\:\mathrm{is}\:\mathrm{Monday}\:\mathrm{to}\:\mathrm{Thurday}\:\mathrm{then}\:\mathrm{dec} \\ $$$$\mathrm{will}\:\mathrm{have}\:\mathrm{only}\:\mathrm{4}\:\mathrm{sundays}. \\ $$