1.Given a standard deck of cards number of favorable outcomes/ total number of p
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Question
1.Given a standard deck of cards number of favorable outcomes/ total number of possible outcomes. PLEASE SHOW WORK.
a.What is the probability that the first card chosen at random will be a Face card?
b. If the first card selected was a Face card, what is the probability that a Face card will be drawn on the second selection (assuming that the first card was not replaced.
c.What is the probability that the first card selected will be a Face card and the second card selected will be a Face card (assuming that the first card was not replaced
Explanation / Answer
Number of cards in a deck = 52
Number of face cards = 12
Hence,
a) P(First card is face card) = 12/52 = 4/13
b) P(Second card is face card | First card selected was face card) = 11/51
[Since after first face card selection, only 51 cards will remain in deck in which 11 will be the remaining face cards].
c) P(First face card and second face card) = (12/52)*(11/51) = 11/221
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