probability worksheets

 Certainly, here's an example of a probability worksheet that covers different aspects of probability along with the solved answers:

Probability Worksheet

Instructions: Solve the following probability problems.

1. Problem: A bag contains 5 red balls, 3 blue balls, and 2 green balls. If one ball is drawn at random, what is the probability of drawing a red ball?

Solution: Total balls = 5 (red) + 3 (blue) + 2 (green) = 10

  Probability of drawing a red ball = Number of red balls / Total balls = 5 / 10 = 0.5

2. Problem: A deck of playing cards contains 52 cards, including 4 aces. What is the probability of drawing an ace from the deck?

Solution: Probability of drawing an ace = Number of aces / Total number of cards = 4 / 52 ≈ 0.0769

3. Problem: A spinner is divided into 8 equal sections, numbered 1 through 8. What is the probability of spinning an even number?

Solution: There are 4 even numbers (2, 4, 6, 8) out of 8 total numbers.

   Probability of spinning an even number = Number of even numbers / Total numbers = 4 / 8 = 0.5

4. Problem:  In a class, there are 20 students, of which 12 are girls and 8 are boys. If one student is selected at random, what is the probability of selecting a boy?

Solution: Probability of selecting a boy = Number of boys / Total number of students = 8 / 20 = 0.4

5.Problem:  A box contains 25 marbles, of which 10 are blue and the rest are red. If a marble is drawn at random, what is the probability of drawing a red marble?

Solution: Number of red marbles = Total marbles - Number of blue marbles = 25 - 10 = 15

   Probability of drawing a red marble = Number of red marbles / Total marbles = 15 / 25 = 0.6

6. Problem: A six-sided fair die is rolled. What is the probability of rolling a number greater than 3?

 Solution:  There are 3 numbers (4, 5, 6) greater than 3 out of 6 possible outcomes.

   Probability of rolling a number greater than 3 = Number of favorable outcomes / Total possible outcomes = 3 / 6