Question

A card is drawn from a pack of 52, so that each card is equally likely to be drawn from the pack.'a' is the event taht the card drawn is of 'spade' and 'b' is the event, where the card is an 'ace'.Explain whether the two event are independent

Answer 1

that two events are independent

Answer 2

Answer:

They are independent events.

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Step-by-step explanation:

P(a) = P(getting a spade) = ( # spades ) / ( # cards ) = 13 / 52 = 1 / 4

P(b) = P(getting an ace) = ( # aces ) / ( # cards ) = 4 / 52 = 1 / 13

P(a and b) = P(getting ace of spades) = 1 / 52

1 / 52 = ( 1 / 4 ) × ( 1 / 13 )

=> P( a and b ) = P(a) × P(b)

=> a and b are independent events.