SOLUTION: Let two cards be dealt successively, without replacement, from a standard 52-card deck. Find the probability of each event: a)no face cards b)club second, given diamond first

Algebra ->  Probability-and-statistics -> SOLUTION: Let two cards be dealt successively, without replacement, from a standard 52-card deck. Find the probability of each event: a)no face cards b)club second, given diamond first      Log On


   



Question 235907: Let two cards be dealt successively, without replacement, from a standard 52-card deck. Find the probability of each event:
a)no face cards
b)club second, given diamond first

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The face cards are Jack, Queen, and King
There are 4 of each, d, h, s, & c
That makes 12 face cards
52+-+12+=+40 non-face cards
The 1st card has 40%2F52 probability
of not being a face card
The 2nd card has 39%2F51 probability
of not being a face card
Getting both has probability 40%2F52%2A39%2F51+=+.588
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Getting a certain diamond from a deck
of 52 cards is 1%2F52
Then getting a club is 13%2F51
Getting both has probability 1%2F52%2A13%2F51+=+.049