दो भिन्न-भिन्न पाँसे एक साथ फेके जाते है तो उन पर प्राप्त संख्याओ के होने की प्रायिकता ज्ञात कीजिए : (i) योग सम (ii) गुणा सम

Explanation

एक साथ फेके गए दो पाँसे इस प्रकार दर्शाये गये है -
`S={:("(1,1)","(1,2)","(1,3)","(1,4)","(1,5)","(1,6)"),("(2,1)","(2,2)","(2,3)","(2,4)","(2,5)","(2,6)"),("(3,1)","(3,2)","(3,3)","(3,4)","(3,5)","(3,6)"),("(4,1)","(4,2)","(4,3)","(4,4)","(4,5)","(4,6)"),("(5,1)","(5,2)","(5,3)","(5,4)","(5,5)","(5,6)"),("(6,1)","(6,2)","(6,3)","(6,4)","(6,5)","(6,6)"):}" "` कुल =36
(i) सम योग `{:("(1,1)","(1,3)","(1,5)","(2,2)","(2,4)","(2,6)"),("(3,1)","(3,3)","(3,5)","(4,2)","(4,4)","(4,6)"),("(3,1)","(5,3)","(5,5)","(6,2)","(6,4)","(6,6)"):}" "` कुल =18
`:.` अभीष्ट प्रायिकता `=(18)/(36)=(1)/(2)`
(ii) सम गुणा `={:("(1,2)""(1,4)""(1,6)"),("(2,1)""(2,2)""(2,3)""(2,4)""(2,5)""(2,6)""(3,2)""(3,4)""(3,6)"),("(4,1)""(4,2)""(4,4)""(4,5)""(4,6)"),("(5,2)""(5,4)""(5,6)"),("(6,1)""(6,2)""(6,3)""(6,4)""(6,5)""(6,6)"):}" "` कुल =27
`:.` अभीष्ट प्रायिकता `=(27)/(36)=(3)/(4)`