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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Joseph Kept 26 Cards in a Cap, Bearing One English Alphabet on Each Card. One Card is Drawn at Random. What is the Probability that the Card Drawn is a Vowel Card ? - Algebra

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प्रश्न

Joseph kept 26 cards in a cap, bearing one English alphabet on each card. One card is drawn at random. What is the probability that the card drawn is a vowel card ?

उत्तर

Let S be the sample space.
We are given that there are 26 cards in a cap bearing one English alphabet on each card.
∴ n(S) = 26
Let A be the event of drawing is a vowel card.
There are 5 vowels out of 26 English alphabets.
∴ n(A) = 5

`therefore P(A)  = (n(A))/(n(S))`

`=5/26`

Hence, the probability that the card drawn is a vowel card is `=5/26`.

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पाठ 5: Probability - Problem Set 5 [पृष्ठ १२६]

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