• Probability

  • Probability Basics
  • Stochastic Processes
  • Poisson Process
  • Birth Processes
  • Birth & Death processes
  • Queuing theory
  • Renewal processes
  • Epidemics
  • Wiener process
  • Stochastic Calculus

Probability Example Questions

Consider the following basic Probability Example Questions

1. A fair dice is rolled. What is the probability of getting the number four?
Solution
S.S = {1, 2, 3, 4, 5, 6}
Here, favorable events = 1 (that is 4), and total events = 6
So, n = 6, and r = 1
Using probability formula

2. A fair dice is rolled. What is the probability of getting an even number?
Solution
S.S = {1, 2, 3, 4, 5, 6}
Here, favorable events = 3 (that are 2, 4, 6), and total events = 6
So, n = 6, and r = 3
Using probability formula

3. A card is drawn from a pack of 52 cards. What is the probability that the card is a queen?
Solution
Here, favorable events = 4 (because there are 4 queens in total in 52 cards). And, total events = 52 (total number of cards).
So, n = 52, and r = 4
Using probability formula

RELATED PAGES
- Probability Formula
- Sample Space
- Sample Space Examples
- Probability Example Questions