Question #055e6

1 Answer
Soumyadip Saha
Feb 4, 2018

P(getting an ace) = #1/13#
P(getting a face card) = #3/13#
P(getting a red card) = #1/2#
P(getting a king) = #1/13#

Explanation:

Since there are 4 aces in a deck of 52 cards,
P(getting an ace) = #4/52#
When we simplify this we get,
P(getting an ace) = #1/13#

Since there are 12 face cards (the king, queen and jack for all four shapes)
P(getting a face card) = #(4*3)/52# = #12/52#
When we simplify this we get,
P(getting a face card) = #3/13#

Since there are two shapes that would be red (the heart and the diamond),
P(getting a red card) = #(2*13)/52# = #26/52#
When we simplify this we get,
P(getting a red card) = #1/2#

Since there are 4 kings in a deck of 52 cards,
P(getting a king) = #4/52#
When we simplify this we get,
P(getting a king) = #1/13#

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