Probability of independent events

All in One Place

Everything you need for better grades in university, high school and elementary.

Learn with Ease

Made in Canada with help for all provincial curriculums, so you can study in confidence.

Instant and Unlimited Help

Get the best tips, walkthroughs, and practice questions.

  1. Differences between independent events and dependent events
  2. Addition and multiplication rules for probability
  3. Experimental probability VS. Theoretical probability
  1. A spinner divided in 4 equal sections is spun. Each section of the spinner is labeled 1, 2, 3, and 4. A marble is also drawn from a bag containing 5 marbles: one green, one red, one blue, one black, and one white. Find the probability of:
    1. Landing on section 2 and getting the green marble.
    2. Not landing on section 3 and not getting the black marble.
    3. Landing on section 1 or 4 and getting the red or blue marble.
    4. Landing on any section and getting the white marble.
  2. A coin is flipped, a standard six-sided die is rolled; and a spinner with 4 equal sections in different colours is spun (red, green, blue, yellow). What is the probability of:
    1. Getting the head, and landing on the yellow section?
    2. Getting the tail, a 6 and landing on the red section?
    3. Getting the tail, a 2 and not landing on the blue section?
    4. Not getting the tail; not getting a 3; and not landing on the blue section?
    5. Not getting the head; not getting a 5; and not landing on the green section?
  3. A toy vending machine sells 5 types of toys including dolls, cars, bouncy balls, stickers, and trains. The vending machine has the same number of each type of toys, and sells the toys randomly. Don uses a five-region spinner to simulate the situation. The results are shown in the tall chart below:



    Bouncy Ball








    1. Find the experimental probability of P(doll).
    2. Find the theoretical probability of P(doll).
    3. Compare the experimental probability and theoretical probability of getting a doll. How to improve the accuracy of the experimental probability?
    4. Calculate the theoretical probability of getting a train 2 times in a row?
Topic Notes
Probability is everywhere in our daily life. Do you know your chances of winning a specific prize in a spinning wheel prize draw? How about the odd to get the same prize two times in a row? By applying the concept of probability of independent events, we can easily answer these questions.