Take this Exam: Probability Theory | Zestly

Question 1

When drawing a single card from a standard 52-card deck, what is the probability of drawing either a Heart or a King?

Accepted Answer

$\frac{13}{52} + \frac{4}{52} - \frac{1}{52}$

Question 2

Which of the following scenarios involve independent events?

Accepted Answer

Flipping a coin twice

Question 3

What is the probability of flipping a fair coin three times and getting exactly three heads?

Accepted Answer

$\frac{1}{8}$

Question 4

In a bag containing 3 red marbles and 2 blue marbles, what is the probability of picking a red marble followed by a blue marble without replacement?

Answer

$\frac{3}{5} + \frac{2}{4}$

Answer

$\frac{3}{5} \cdot \frac{2}{4}$

Answer

$\frac{3}{5} \cdot \frac{2}{5}$

Answer

$\frac{3}{5} + \frac{2}{5}$

Question 5

Which of the following are required for the classical probability formula $P(A) = \frac{n(A)}{n(S)}$ to be valid?

Answer

All outcomes in the sample space must be equally likely

Answer

The sample space must be finite

Answer

The events must be independent

Answer

The events must be mutually exclusive