Two cards are drawn without replacement from an ordinary deck, find the probabaility that the second is a face card, given thathat the second is not a seven, given that the first is a seven. what is the conditional probability?

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Mathematics

Eva Gordon

22 April, 20:00

Two cards are drawn without replacement from an ordinary deck, find the probabaility that the second is a face card, given thathat the second is not a seven, given that the first is a seven. what is the conditional probability?

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Gemma Weeks · Answer 1

Answer is 1.1% chance:

standard deck of cards has 52 cards

jack, queen, and king are face cards, and there are four suits, so in total there are 7 face cards in the deck. There are 4 seven cards in the deck. The probability that the first card is a seven is 0.076923077--> 7.7%, then there are 7 face cards so 7/51 chance 0.137254902--> 13.7% (but that is after 7.7% of 100% has already happened, so we are looking at 13.7% chance of 7.7% chance of 100% cards. Multiply both numbers and you get 0.010558069--> 1.1% chance