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Question Number 26255 by jashandhillon@gmail.com last updated on 23/Dec/17

if two dice are tossed together what is probability of sim of number on the dice being an even number

$${if}\:{two}\:{dice}\:{are}\:{tossed}\:{together}\:{what}\:{is}\:{probability}\:{of}\:{sim}\:{of}\:{number}\:{on}\:{the}\:{dice}\:{being}\:{an}\:{even}\:{number} \\ $$

Commented by Rasheed.Sindhi last updated on 23/Dec/17

Sum of two numbers is even if: either both numbers are even or both numbers are odd. Both even 3×3=9 Both odd 3×3=9 Fsvourable outcomes= 9+9=18 Total outcomes=6×6=36 possibility of even sum=((18)/(36))=(1/2)

$$\mathrm{Sum}\:\mathrm{of}\:\mathrm{two}\:\mathrm{numbers}\:\mathrm{is}\:\mathrm{even}\:\mathrm{if}: \\ $$$$\:\mathrm{either}\:\mathrm{both}\:\mathrm{numbers}\:\mathrm{are}\:\mathrm{even} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{or}\:\mathrm{both}\:\mathrm{numbers}\:\mathrm{are}\:\mathrm{odd}. \\ $$$$\mathrm{Both}\:\mathrm{even}\:\mathrm{3}×\mathrm{3}=\mathrm{9} \\ $$$$\mathrm{Both}\:\mathrm{odd}\:\mathrm{3}×\mathrm{3}=\mathrm{9} \\ $$$$\:\mathrm{Fsvourable}\:\mathrm{outcomes}=\:\mathrm{9}+\mathrm{9}=\mathrm{18} \\ $$$$\mathrm{Total}\:\mathrm{outcomes}=\mathrm{6}×\mathrm{6}=\mathrm{36} \\ $$$$\mathrm{possibility}\:\mathrm{of}\:\mathrm{even}\:\mathrm{sum}=\frac{\mathrm{18}}{\mathrm{36}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$

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