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Seven cards:- the eight, the nine, the ten, jack, queen, king and ace of diamonds are well shuffled. One card is then picked up at random. If the king is drawn and put aside - Mathematics

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Question

Seven cards:- the eight, the nine, the ten, jack, queen, king and ace of diamonds are well shuffled. One card is then picked up at random. 

 If the king is drawn and put aside, what is the probability that the second card picked up is: 

  1. an ace?
  2. a king?
Sum
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Solution

Total number of possible outcomes = 7 

a. If a king is drawn and put aside, then total possible outcomes = 6

Number of favorable outcomes for an ace = 1 

P(card is an ace) = `1/6` 

b. Now, for second pick number of king = 0 

Number of favorable outcomes for a king = 0 

P(card is a king) = `0/6 = 0`

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