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2 problems match “random permutations”. Clear

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1. Ace of spades before face cards ●●○○○ 20 ptsCarson flips over the cards of a standard 52-card deck one at a time. Find the probability that he flips over the ace of spades before any face card (jack, queen or king). Round to two decimal places.
2. Last passenger in assigned seat ●●●○○ 50 ptsOne hundred passengers board a full flight in order, each with an assigned seat. The first passenger loses their boarding pass and picks a seat at random. Each later passenger sits in their assigned seat if it is free, and otherwise picks a seat at random from the remaining free seats. What is the probability that the last passenger sits in their assigned seat? Give the answer as a decimal.