Understanding independent and dependent events can be tricky in probability.
Independent Events
These are events where one does not change the chances of the other happening.
For example, think about flipping a coin and rolling a die.
The chance of both things happening can be found by using this simple formula:
P(A and B) = P(A) × P(B)
Dependent Events
These events are different because the outcome of one affects the other.
A good example is drawing cards from a deck and not putting the first card back.
In this case, the formula changes a little:
P(A and B) = P(A) × P(B after A)
To really get these ideas, it helps to practice a lot and have clear definitions.
This way, you can understand these concepts better and use them correctly.
Understanding independent and dependent events can be tricky in probability.
Independent Events
These are events where one does not change the chances of the other happening.
For example, think about flipping a coin and rolling a die.
The chance of both things happening can be found by using this simple formula:
P(A and B) = P(A) × P(B)
Dependent Events
These events are different because the outcome of one affects the other.
A good example is drawing cards from a deck and not putting the first card back.
In this case, the formula changes a little:
P(A and B) = P(A) × P(B after A)
To really get these ideas, it helps to practice a lot and have clear definitions.
This way, you can understand these concepts better and use them correctly.