A deck of playing cards has 52 cards, of which 12 are face cards. If you shuffle the deck well and turn over the top 3 cards, one after the other, what's the probability that all 3 are face cards?

Answer :

Answer:

Step-by-step explanation:

0.010

Since you turn one after another, you are NOT replacing. (12/52)(11/51)(10/50)

probability that 3 are face cards = 33 / 3315 or 0.01

The total number of cards = 52 cards

number of cards that are face cards = 12

probability = number of ways it can occur / total number of outcomes

The cards were turned without replacement .

probability of the first attempt = 12 / 52

probability of the second attempt = 11 / 51

probability of the third attempt = 10 / 50

Therefore,

probability that all three are face cards = 12 / 52 × 11 / 51 × 10 / 50 = 1320 / 132600 = 132 / 13260 = 33 / 3315

probability that all three are face cards = 0.00995475113 ≈ 0.01

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