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One card is drawn at random from a well-shuffled deck of 52 cards. In which of the following case is the events E and F independent? E : ‘the card drawn is a spade’ F : ‘the card drawn is an ace’

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प्रश्न

One card is drawn at random from a well-shuffled deck of 52 cards. In which of the following case is the events E and F independent?

E : ‘the card drawn is a spade’

F : ‘the card drawn is an ace’

योग
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उत्तर

P(E) = `13/52 = 1/4`

P(F) = `4/52 = 1/13`

P(E ∩ F) = `1/52`

P(E) . P(F) = `1/4 xx 1/13 = 1/52` = P(E ∩ F)

Therefore E and F are independent events.

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अध्याय 13: Probability - Exercise 13.2 [पृष्ठ ५४७]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 13 Probability
Exercise 13.2 | Q 15. (i) | पृष्ठ ५४७

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