[A-L] (2023/24) Foglio 1 - Esercizio 8

[Elia-Belli]

[CiottoloMaggico]

[Elia-Belli]

Soluzione discussa in classe

• $\Omega = \{(w_0,w_1)| 1 \leq w_i \leq 6\}, w_0 = rosso, w_1= blu$
• $A = \{(w_0,w_1) | w_0=5\}$
  $B= \{(w_0,w_1)| w_0=5 \lor w_1=5\}$
  $C =\{(w_0,w_1)| w_0=w_1=5\}$
  $D = \{(w_0,w_1)| w_0 \neq 5 \land w_1 \neq 5\} = B^c$
  $E = \{(w_0,w_1)| w_0 +w_1 = 5\}$
• $|\Omega| = 6\cdot 6=36$
  $\mathbb{P}(A)= \frac{|A|}{|\Omega|}=6/36=1/6$
  $\mathbb{P}(B)= 1-\frac{|B^c|}{|\Omega|}=1-(25/36)=11/36 $
  $\mathbb{P}(C)= \frac{|C|}{|\Omega|}=1/36$
  $\mathbb{P}(D)= \frac{|D|}{|\Omega|}=25/36$
  $\mathbb{P}(E)= \frac{|E|}{|\Omega|}= 4/36 = 1/9$