Table of Contents
- 1 Is the probability of zero mean impossible?
- 2 Why probability of 0 does not mean impossible probabilities of probabilities Part 3?
- 3 Why probability for a continuous random variable at a point is zero?
- 4 What is the probability of prime numbers from 1 to 100?
- 5 What is the probability of at least one?
- 6 What is the probability of two independent events?
Is the probability of zero mean impossible?
Events that are impossible have zero probability, but the converse is not necessarily true. But, a zero probability event does not mean an impossible event. The simplest example comes comes from a continuous model. Every point has zero probability but every point can be a possible outcome.
Why probability of 0 does not mean impossible probabilities of probabilities Part 3?
Possible outcomes with zero probabilities. A finite sample space is one which has a finite number of possible outcomes. An infinite sample space has an infinite number of possible outcomes. The simplest example of an infinite sample space I can think of is that of randomly drawing a number between 0 and 1.
Which of the following has a 0 probability?
An impossible event, or an event that never occurs, has a probability of 0 . An event that always occurs has a probability of 1 . An event with a probability of 0.5 will occur half of the time.
Why probability for a continuous random variable at a point is zero?
The probability of a specific value of a continuous random variable will be zero because the area under a point is zero.
What is the probability of prime numbers from 1 to 100?
The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Hence, the probability of the event that a number chosen from 1 to 100 is a prime number . Therefore, the correct option is (C).
How to find the probability of an event?
Identify an event with one result.
What is the probability of at least one?
This is referred to as the ‘At Least One’ Rule. To calculate the probability of an event occurring at least once, it will be the complement of the event never occurring. This means that the probability of the event never occurring and the probability of the event occurring at least once will equal one, or a 100% chance.
What is the probability of two independent events?
In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other.
What is an example of independent probability?
When two events are said to be independent of each other, what this means is that the probability that one event occurs in no way affects the probability of the other event occurring. An example of two independent events is as follows; say you rolled a die and flipped a coin.