When we talk about independent events in probability, we mean that one event doesn’t change the outcome of another.
To understand how to work with these events, we can follow these easy steps:
Identify Events: First, let’s say you flip a coin and then roll a die.
Determine Independence: Flipping the coin doesn’t affect the die. So, these two events are independent.
Calculate Probabilities:
Use the Multiplication Rule: Now, multiply the probabilities together: [ P(H \text{ and } 4) = P(H) \times P(4) = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12} ]
This shows us how to find the chance of both events happening at the same time!
When we talk about independent events in probability, we mean that one event doesn’t change the outcome of another.
To understand how to work with these events, we can follow these easy steps:
Identify Events: First, let’s say you flip a coin and then roll a die.
Determine Independence: Flipping the coin doesn’t affect the die. So, these two events are independent.
Calculate Probabilities:
Use the Multiplication Rule: Now, multiply the probabilities together: [ P(H \text{ and } 4) = P(H) \times P(4) = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12} ]
This shows us how to find the chance of both events happening at the same time!