SOLUTION: If your are dealt one card from a 52-card deck, find the probability of being dealt a card greater than 4 and less than 10.

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Question 478680: If your are dealt one card from a 52-card deck, find the probability of being dealt a card greater than 4 and less than 10.
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Number of cards greater than 4 and less than 10 in a suit = 5
Number of cards greater than 4 and less than 10 in 4 suits = 5 * 4 = 20
Selecting a card out of 20 cards = nCr
=20C1
=20!/(20-1)! 1! = (20*19!)/19! 1! = 20 ways

Selecting a card out of 52 cards = nCr
=52C1
=52!/(52-1)! 1! = (52*51!)/51! 1! = 52 ways
P(dealt a card greater than 4 and less than 10)=20/52= 0.3846