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Question
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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Solution
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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