i need to know how to do the probability of a compound event and independent event?
:Examples of Compound Events
Let’s take a look at some examples.
- What is the probability that you will roll a five using a 6-sided die?
The favorable outcome is rolling a five, and that can only occur once using one die. The total number of outcomes is six, since the die is 6-sided.
So the probability of rolling a five is 1/6.
Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.
When two events, A and B, are independent, the probability of both occurring is:
P(A and B) = P(A) · P(B)
examle: A dresser drawer contains one pair of socks with each of the following colors: blue, brown, red, white and black. Each pair is folded together in a matching set. You reach into the sock drawer and choose a pair of socks without looking. You replace this pair and then choose another pair of socks. What is the probability that you will choose the red pair of socks both times? [IMAGE]
P(red) = 1
P(red and red) = P(red) · P(red)
= 1 · 1