Table of Contents
What Is Independent Event?
Independent means not relate with something/someone. For examples of independent condition are buying a chocolate and finding a pencil on the road, writing a letter and sweeping the floor, etc. The events in examples of independent condition are not relate each other. It is not causal relationship between of them.
Probability of Independent Events Formula
Probability is chance to happen of something/events. Probability equals with number of something happen divide by total numbers of outcomes. Probability of independent event means probability that is not related or affected with previous or next events. Some examples of independent events are: tossing coins, rolling dices, deck of cards, and combined between them.
If there are two independent events, A and B, then the first step is determining the probability of each events. Then the probability of independent evets is
P(A∩B) = P(A) x P(B)
Probability of independent events of A and B is gotten by multiplying probability of A and B.
How if there are more than two events?
Basically, the concept is same with two events. It is just multiplying the probability of each events.
1. There is a dice that is rolling twice. Find the probability of getting the sum is 6.
2. A coin is tossed four times. Find the probability of getting two tail and two heads.
3. A code consists of a digit number chosen from 0 to 9 and followed by two different letters of the alphabet.
What is the probability the code is 2AB?
4. A jar contains 4 black, 3 yellow, 4 white and 1 purple marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. What is the probability of choosing a black and then two white marbles?