Probability Examples Tutors

Probability Examples Tutors Probability is the section of mathematics which involves the study of the possibility of an event occurring or not occurring in a given particular situation. Probability of an event ranges from 0 (which implies that it is impossible for the event to happen) to 1 (which implies that the event will happen). In order to find the chances of a particular event to occur, we have to consider its chances compared to the total possible outcomes for that event and then find the probability of that event. Example 1: What is the probability of getting the number 5 when a fair die is rolled? In order to find the probability when a fair die is rolled, we should first look at the total possible outcomes for this event. Total possible outcomes = {1, 2, 3, 4, 5, 6} ==implies that there is a possibility for any of these 6 numbers to occur. Out of these outcomes the chances of getting only the number 5 is 1 out of 6. Therefore P(E) = 1/6 Example 2: If a coin is tossed and then a fair die is rolled, what is the probability of getting heads and a 4? When a coin is tossed the possible outcome is heads or tails==which implies 2 outcomes. Hence, chances of getting a heads= 1/2. Similarly, when a fair die is rolled, there is a possibility of getting {1, 2, 3, 4, 5, 6} for any of these 6 numbers to occur. Hence, the chances of getting a 4= 1/6. Therefore, the Probability (of getting heads and a 4) = 1/2 * 1/6 = 1/12.