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A Coin is Tossed Three Times. Find P (A/B) in Each of the Following:(Iii) a = at Most Two Tails, B = at Least One Tail. - Mathematics

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प्रश्न

A coin is tossed three times. Find P (A/B) in each of the following:

A = At most two tails, B = At least one tail.

योग

उत्तर

Consider the given events.
A = At most two tails
B = At least one tail

Clearly,
A = {(T, T, H), (T, H, H), (H, H, T), (T, H, T), (H, H, T), (H, T, T), (H, H, H)}
B = {(T, T, T), (T, T, H), (T, H, H), (H, H, T), (T, H, T), (H, H, T), (H, T, T)}

\[\text{ Now } , \]
\[A \cap B = {(T, T, H), (T, H, H), (H, H, T), (T, H, T), (H, H, T), (H, T, T)} \]

\[\therefore \text{ Required probability }  = P\left( A/B \right) = \frac{n\left( A \cap B \right)}{n\left( B \right)} = \frac{6}{7}\]

 

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Probability Examples and Solutions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 31: Probability - Exercise 31.3 [पृष्ठ ३४]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 31 Probability
Exercise 31.3 | Q 8.3 | पृष्ठ ३४

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