What is the probability of getting black face card is face card of Spade are removed from a well shuffled pack of 52 cards?

All the face cards of spades are removed from a pack of 52 playing cards and then the pack is shuffled well. A card is then drawn at random from the remaining pack of cards. Find the probability of getting (i) a black face card, (ii) a queen.

Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM

Total cards = 52

Three face cards of spades are removed.

P (Black face card) =

P(Queen) =

(as total black face cards are now 3, instead of 6 and total queens are 3 instead of 4)

Answered by | 04 Jun, 2014, 03:23: PM

All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting:  

a black face card 

Total number of cards =52 

3 face card of spades are removed 

Remaining =52-3=49= number of possible outcomes 

n(s)=49 

Number of black face cards left = 3 face cards of club 

Event of drawing a black face cards =E=3 

n(E)=3 

Probability of drawing a black face card = `(n(E))/(n(s))=3/49` 

Concept: Type of Event - Complementry

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