From a well shuffled pack of cards, a card is drawn at random. Find the probability of getting a black queen.
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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 are club.
13 cards in each suit are ace,king ,queen, Jack, 10, 9,8,7,6, 5, 4, 3 and 2.
SOLUTION:
Given : One card is drawn from a well shuffled Deck of 52 playing cards.
Total number of outcomes = 52
Let E = Event of getting a black queen
Number of black queen in a Deck = 2
Number of favourable outcomes to E = 2
Probability P(E) = Number of favourable outcomes / total number of outcomes
P(E) = 2/52 = 1/26
Hence, the probability of getting a black queen P(E) = 1/26 .
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