# Probability of independent events

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### Introduction

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### Examples

#### Lessons

- 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:
- 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:
- Getting the head, and landing on the yellow section?
- Getting the tail, a 6 and landing on the red section?
- Getting the tail, a 2 and not landing on the blue section?
- Not getting the tail; not getting a 3; and not landing on the blue section?
- Not getting the head; not getting a 5; and not landing on the green section?

- 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:
Doll

Car

Bouncy Ball

Sticker

Train

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- Find the experimental probability of P(doll).
- Find the theoretical probability of P(doll).
- Compare the experimental probability and theoretical probability of getting a doll. How to improve the accuracy of the experimental probability?
- Calculate the theoretical probability of getting a train 2 times in a row?