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Question: Answered & Verified by Expert
A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card is not a spade, is :
MathematicsProbabilityJEE MainJEE Main 2021 (16 Mar Shift 1)
Options:
  • A 34
  • B 52867
  • C 3950
  • D 22425
Solution:
2190 Upvotes Verified Answer
The correct answer is: 3950

E1 : Event denotes spade is missing 

PE1=14;PE¯1=34

A : Event drawn two cards are spade 

PAE1=C212C251, PAE1¯=C213C251

PE1A=34×C213C25114×C212C251+34×C213C251=3950

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