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एक सिक्के को उछालने के परीक्षण पर विचार ...

एक सिक्के को उछालने के परीक्षण पर विचार कीजिए। यदि सिक्के पर चित प्रकट हो तो सिक्के का पुनः उछालें परंतु यदि सिक्के पर पट प्रकट हो तो एक पासे को फेंकें। यदि घटना कम से कम एक पट प्रकट होना का घटित होना दिया गया है तो घटना पासे पर 4 से बड़ी संख्या प्रकट होना की सप्रतिबंध प्रायिकता ज्ञात कीजिए।

Text Solution

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According to the question,
`S={(H,H),(H,T),(T,1),(T,2),(T,3),(T,4),(T,5),(T,6)}`
In the above set, there are 8 elementry events, but all are not equally likely.
However, events (H,H) and (H,T) are equally likely. Each event has pobability `1/4.`
Events `(T,1),(T,2),....(T,6)` are equally likely and each event has probability `1/12.`
Let event A be "the dice shows a number greater than 4" And event B be "there is at least one tail"'.
`thereforeA={(T,5),(T,6)}`
and `B={(H,T),(T,1),(T,2),(T,3),(T,4),(T,5),(T,6)}`
`thereforeAnnB={(T,5),(T,6)}`
`therefore"Required probability,"P(A//B)=(P(AnnB))/(P(B))`
`=(1/12+1/12)/(1/4+1/12+1/12+1/12+ 1/12+ 1/12+1/12)=(1//6)/(3//4)=2/9`
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