one card is taken out from a well shuffled deck of 52cards find the probability of getting (a red card ) (face card ) (a jack of spade) (a black card) (ace card )
Answers
Answer:
A deck of playing cards consists of 52 cards out of which 26 are black cards and other 26 are red cards, where red cards consists of 13 cards of heart♥, 13 cards of diamond♦ and black cards consists of 13 cards of spades ♠and 13 cards of club♣.
52 playing cards are divided into four parts (called suits) 13 cards each namely heart, Diamond, spade and club.
13 cards in each suit are king, queen, Jack, 10, 9 ,8 ,7 ,6 ,5 ,4 ,3 &2.
King, queen and jack are called face cards ,so total face cards= 12
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Solution:
Total numbers of outcomes= 52
(i) Numbers of king of red colour = 2
Probability of getting a king of red colour = 2/52 = 1/26
P( red king) = 1/26
(ii) Numbers of face cards = 12
Probability of getting a face card = 12/52 = 3/13
P(face card)= 3/13
(iii) Numbers of red face cards = 6
Probability of getting a red face card = 6/52 = 3/26
P(red face card)= 3/26
(iv) Numbers of jack of hearts =1
Probability of getting a jack of heart = 1/52
P(jack of heart)= 1/52
(v) Numbers of king of spade = 13
Probability of getting a king of spade = 13/52 = 1/4
P(king spade)=1/4
(vi) Numbers of queen of diamonds = 1
Probability of getting a queen of diamond = 1/52
P(queen diamond) = 1/52
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Answer:
total cards = 52
p(e)= no of favourable outcomes/total no of possible outcomes
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