Which of the following statements correctly defines a probability space $(\Omega, \mathcal{F}, P)$?
Question 2
Given a probability space $(\Omega, \mathcal{F}, P)$, if $A$ and $B$ are two independent events, which of the following is true regarding their joint probability $P(A \cap B)$?
Question 3
Consider a financial experiment where the price of a stock can either increase (I), decrease (D), or stay the same (S) over a day. What is the size of the sample space $\Omega$ for two consecutive days?
Question 4
Which of the following best describes the closure property of a sigma-algebra $\mathcal{F}$ under countable unions?
Question 5
In a probability space $(\Omega, \mathcal{F}, P)$, if $P(A) = 0.7$ and $P(B) = 0.5$, and $P(A \cup B) = 0.9$, what is the probability of the intersection $P(A \cap B)$?
Probability Spaces Quiz — Mathematical Finance | A-Warded
