Question 76
Alberto, Barbara, Chiara and Davide shuffle a deck of 40 cards and then deal 10 cards to each. Alberto looks at his cards and exclaims: "How strange, I have no spades". Knowing this information, what is the probability that Barbara also has no spades? (note: there are 10 spades).
(A) $\frac{30 !}{20 ! 40 !}$
(B) $\frac{20 !}{10 ! 30 !}$
(C) $\frac{30 ! 30 !}{20 ! 40 !}$
(D) $\frac{20 ! 20 !}{10 ! 30 !}$
(E) $\frac{30 ! 10 !}{40 !}$
(A) $\frac{30 !}{20 ! 40 !}$
(B) $\frac{20 !}{10 ! 30 !}$
(C) $\frac{30 ! 30 !}{20 ! 40 !}$
(D) $\frac{20 ! 20 !}{10 ! 30 !}$
(E) $\frac{30 ! 10 !}{40 !}$