Math, asked by afrimzan331, 1 year ago

From a well shuffled deck of playing cards 4 cards are drawn randomly. without replacement what is the probability of 3 spades and 1 heart

Answers

Answered by shadowsabers03
0

 A\ deck\ of\ cards\ contain\ 52\ cards. Among\ them,\ 13\ spades\ and \\ 13\ hearts\ are\ there. \\ \\ Probability\ of\ taking\ 1\ spade\ from\ 52\ cards = \frac{13}{52} \\ \\ After\ 1\ spade\ is\ taken,\ probability\ of\ taking\ one\ among\ 13 - 1 = 12 \\ spades\ from\ 52 - 1 = 51\ cards = \frac{12}{51} \\ \\ After\ taking\ 2\ spades,\ probability\ of\ taking\ one\ among\ 13 - 2 = 11 \\ spades\ from\ 52 - 2 = 50\ cards = \frac{11}{50} \\ \\


 \\ \\ After\ taking\ 3\ spades,\ probability\ of\ taking\ 1\ among\ 13\ hearts \\ from\ 52 - 3 = 49\ cards = \frac{13}{49} \\ \\ Probability\ of\ taking\ 3\ spades\ \&\ 1\ heart\ from\ 52\ cards \\ \\ = \frac{13}{52} \times \frac{12}{51} \times \frac{11}{50} \times \frac{13}{49} \\ \\ \\


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