मराठी

The Probability that a Leap Year Will Have 53 Fridays Or 53 Saturdays is (A) 2 7 (B) 3 7 (C) 4 7 (D) 1 7 - Mathematics

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प्रश्न

The probability that a leap year will have 53 Fridays or 53 Saturdays is

पर्याय

  • \[\frac{2}{7}\]

  • \[\frac{3}{7}\]

  • \[\frac{4}{7}\]

  •  \[\frac{1}{7}\]

MCQ
बेरीज
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उत्तर

\[ \frac{3}{7}\]
A leap year has 366 days 

For a non-leap year:
52 weeks + 1 day
For a  leap year:
52 weeks + 2 days

\[\text{ Sample space } = [ \left( \text{ Monday, Tuesday } \right), \left( \text{ Tuesday, Wednesday } \right), \left( \text{ Wednesday, Thursday } \right), \]
\[\left( \text{ Thursday, Friday } \right), \left( \text{ Friday, Saturday }\right), \left( \text{ Saturday, Sunday }\right), \left( \text{ Sunday, Monday } ) \right]\]
\[\text{ Favourable cases } = 3\]
\[P\left( 53 \text{ Fridays or 53 Saturdays}  \right) = \frac{3}{7}\]

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पाठ 31: Probability - MCQ [पृष्ठ १०४]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 31 Probability
MCQ | Q 7 | पृष्ठ १०४
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