one card is drawn at random from a well shuffled pack of 52 cards. If 'E' is the event such that " the card drawn is a spade and 'F' is the event such that " the card drawn is a king" then find the probability of drawing a spade king if both E and f are independent events.
Answer & explanation
Correct answer: option 3
In a pack of 52 cards, 13 cards are spades and four cards are king.
So, P(E) = the card drawn is spade = 13/52 = 1/4
P(F) = the card drawn is a king = 4/52 = 1/13
In pack of 52 cards only one card is king of spade.
P(EF) = P(the card drawn is spade and king) = (1/4) x (1/13)
= 1/52