1. In a pack or of 52 playing cards, they are divided into 4 suits of 13 cards e
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Question
1. In a pack or of 52 playing cards, they are divided into 4 suits of 13 cards each (ie, spades . hearts ., diamonds , clubs , Cards of Spades and clubs are black cards. Cards of hearts and diamonds are red cards. The card in each suit, are ace, king, queen, jack, 10, 9, 8,7,6,5 4, 3 and 2. King, Queen and Jack are face cards. So, there are 12 face cards in the deck of 52 playing cards. A card is drawn from a well shuffled pack of 52 cards. Find the probability of (Leave all answers for this problem as fractions) 124 pts a black face card [8] a. b. non-face card of black color [8 c. neither a heart nor a red king [8Explanation / Answer
Solution:-
1)
a) The probability of a black facecard is 0.1154.
Number of black facecards = 6
Total number of cards = 52
The probability of a black facecard = 6/52 = 0.1154
b) The probability of non face card of black color is 0.3846.
Number of non facecards of black colors = 26 - 6 = 20
Total number of cards = 52
The probability of a black facecard = 20/52 = 0.3846.
c) The probability that you get neither a heart nor a red king is 0.731.
Number of cards that are neither a heart nor a red king = 52 - 13 - 1 = 38
Total number of cards = 52
The probability that you get neither a heart nor a red king = 38/52 = 0.731
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