In a standard deck of 52 cards, what are the odds of correctly identifying suit and number of two different cards with only 22 cards flipped over?

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Feb 3, 2018

Answer:

#1/435 = 0.0023#

Explanation:

#"I suppose you mean that there are 22 cards shown, so that"#
#"there are only 52-22 = 30 unknown cards."#
#"There are 4 suits and every card has a rank, i assume that"#
#"this is what you mean by number as not all cards have a"#
#"number, some are face cards."#

#"So two cards are picked out and someone must guess suit and"#
#"rank of them. The odds for that are"#

#2 * (1/30) * (1/29) = 1/435 = 0.0023 = 0.23 %#

#"Explanation : we know it is not one of the flipped over cards, so"#
#"there are only 30 possibilities for the first card and 29 for the"#
#"second card. We multiply the chances and multiply by 2"#
#"because the order of the two cards does not matter, so guessing"#
#"the second card first and then the first is also right."#

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