Question

Two cards from an ordinary deck of 52 cards are missing. What is the probability that a random card drawn from this deck is a spade?

Answer 1

⅓[(11/50)+(12/50)+(13/50)]
=6/25

Answer 2

Answer:

Let E be the event that the randomly drawn card is a spade. Let F

i  be the event that spades are missing from the 50-card (defective) deck, for i=0, 1, 2.

We want P(E), which we compute by conditioning on how many spades are missing from the original deck :

P(E)=P(E∣F0)P(F0)+P(E∣F 1 )P(F1 )+P(E∣E2)P(F2)

=1/4

#SPJ3

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