Mathematics: Answers for 7 & 8 , conditional probabilities- geometry module 6 version 2

Answers for 7 & 8 , conditional probabilities-

Ответ:

nanett0226

10.03.2022

7) I'm assuming any pizza comes with cheese by default and that it shouldn't technically count as a topping on its own. It's probably safe to also assume that a pizza with sausage and pepperoni, for instance, is the same as a pizza with pepperoni and sausage, i.e. the order of toppings does not matter.

Then the number of pizzas that can be made with no more than 5 toppings would be

$\displaystyle\sum_{t=0}^5\frac{12!}{t!(12-t)!}=1586$

8) Let be the random variable representing the earning/loss after drawing a bead. has the probability mass function

$p(B=b)=\begin{cases}\dfrac3{12}=\dfrac14&\text{for }b=3\\\\\dfrac7{12}&\text{for }b=-1\\\\\dfrac2{12}=\dfrac16&\text{for }b=10\\\\0&\text{otherwise}\end{cases}$