Combinatorio E Probabilita -italian Edi... - Calcolo

First person: 10 choices. Second: 9 choices (different from first). Third: 8 choices (different from first two). [ 10 \times 9 \times 8 = 720 ]

Enzo winked. " Probabilità doesn’t guarantee, but it guides. Now, who wants a slice?" If you'd like, I can rewrite this as a or turn each problem into a clean combinatorial formula for your Italian edition book. Just let me know. Calcolo combinatorio e probabilita -Italian Edi...

Every Saturday, Enzo offered a — a mystery pizza with random toppings chosen by a strange ritual. Customers would write their names on slips of paper, and Enzo would draw three names. Those three would each choose a topping from a list of ten: funghi, carciofi, salsiccia, peperoni, olive, cipolle, acciughe, rucola, gorgonzola, zucchine . First person: 10 choices

"So most of the time," Marco laughed, "the pizza is a mix of three distinct flavors!" That night, a boy named Luca asked the most curious question: "What if you drew the names without replacement from a total of 20 customers, but then the three chosen still pick toppings with repetition? And also, before picking toppings, you shuffle a deck of 40 Scoppia cards (Italian regional cards: four suits, numbered 1 to 10). If the first card is a '1' of any suit, you cancel the pizza game. If not, you proceed. What’s the chance we actually make a pizza?" [ 10 \times 9 \times 8 = 720 ] Enzo winked

"So," Chiara said, "a 1% chance. Rare, but possible."

This is always possible once we reach this stage. So the probability that a pizza gets made is just the probability of not drawing a '1' first: