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lyudmila [28]
4 years ago
8

Patrick is doing a card trick using a standard 52-card deck with four suits: hearts, diamonds, spades, and clubs. He shows his f

riend a card, replaces it, and then shows his friend another card. Give the probability that the first card is not a club and the second card is not a heart.
Mathematics
2 answers:
garik1379 [7]4 years ago
7 0
Probability that the first card is not a club is 1 minus probability that it is a club. i.e. 1 - 1/4 = 3/4
Probability that the second card is not a heart is 1 minus probability that it is a heart. i.e. 1 - 1/4 = 3/4
Probability that the first card is not a club AND the second card is not a heart is 3/4 x 3/4 = 9/16
jeyben [28]4 years ago
5 0
There are a total of 52 cards in a deck- that is 4 cards for each shape: heart, diamond, spade and club and 13 numbers. There are thus, 13 cards with club shape and 13 cards with a heart shape. Hence the probability that the first card is not a club is (52-13)/52 = 3/4  and the second card is not a heart (51-13)/51 = 38/51 is equal to 3/4 *<span>38/51</span> equal to 19/34
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