Question: 2019 Winter Midterm - 15
The Carleton Computer Science Society (CCSS) is organizing their annual Saint Patrick's Day party.
The CCSS has bought three types of drinks:
There are 75 students at the party, and each of them gets one drink, which is chosen uniformly at random from these three types.
Let $A$ be the event
- Porterhouse Brewing Co. Oyster Stout,
- Guinness Extra Stout,
- Magners Original Irish Cider.
There are 75 students at the party, and each of them gets one drink, which is chosen uniformly at random from these three types.
Let $A$ be the event
- A = "exactly 50 students get Magners Original Irish Cider".
(a)
$\frac{{ 75 \choose 50 } \cdot 2^{25}}{3^{75}}$
(b)
$\frac{{75 \choose 50} \cdot 3^{25}}{3^{75}}$
(c)
$\frac{3^{75}}{{75 \choose 50} \cdot 2^{25}}$
(d)
$\frac{75 \choose 50}{3^{75}}$