What is the probability that the top 10 cards in a shuffled deck are red? What...

Question

Question

What is the probability that the top 10 cards in a shuffled deck are red? What is the probability that the top k cards in a shuffled deck are red?

Answer 1

Answer #1

probabiltiy that top 10 cards are red =P(10 cards 10 from 13 and 0 from rest of 39)

=¹³C₁₀ /⁵²C₁₀ =(13!/(3!*10!))/(52!/(10!*42!)) =(13!*42!)/(52!*3!)=0.00000001808

probability that the top k cards in a shuffled deck are red =¹³C_k /⁵²C_k where k<=13

Answer 2

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