In-a-properly-shuffled-deck-what-is-the-probability-that-the-last-10-cards-are-in-order-A-2-3-4-5-9-10-J-K-Q-

Question Number 43805 by Penguin last updated on 15/Sep/18

In a properly shuffled deck, what is the probability

that the last 10 cards are in order :

A ♡, 2 ♡, 3 ♡, 4 ♡, 5 ♡, 9 ♠, 10 ♠, J ♠, K ♠, Q ♠

Commented by Penguin last updated on 15/Sep/18

This just happened to a friend in a deck that was

V E R Y well shuffled (literally thrown into

the air) .

Answered by MJS last updated on 16/Sep/18

if {it}^{'} s a set of 4 \times 13 = 52 cards

\frac{1}{52 \times 51 \times 50 \times 49 \times 48 \times 47 \times 46 \times 45 \times 44 \times 43} \approx 1.74 \times 10^{- 17}

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