Take this Quiz: Probability Theory | Zestly

Question 1

What is the definition of a sample space in probability theory?

Accepted Answer

The set of all possible outcomes of a random experiment

Question 2

Which of the following are true regarding the probability of an event $A$, denoted as $P(A)$?

Accepted Answer

$0 \le P(A) \le 1$

Question 3

If two events $A$ and $B$ are mutually exclusive, what is the probability of their union $P(A \cup B)$?

Accepted Answer

$P(A) + P(B)$

Question 4

If events $A$ and $B$ are independent, which of the following statements are true?

Answer

$P(A \cap B) = P(A) \cdot P(B)$

Answer

$P(A|B) = P(A)$

Answer

$P(A \cup B) = P(A) + P(B)$

Answer

$P(A \cap B) = 0$

Question 5

Given an event $A$ with probability $P(A) = 0.35$, what is the probability of the complement $A^c$?

Answer

$0.65$

Answer

$0.35$

Answer

$1.35$

Answer

$0.70$