What is the probability of picking a rational number?

Note that the probability of randomly picking a rational number from [0,1] is exactly 0. That is, with P=1 you will end up with an irrational number, not representable in any modern computer.

What is the probability that the number is 0?

A probability of 0 means that the event will not happen. For example, if the chance of being involved in a road traffic accident was 0 this would mean it would never happen. You would be perfectly safe. A probability of 1 means that the event will happen.

Are all real numbers rational numbers prove your answer by giving examples?

The number is rational (it’s written as a ratio of two integers) but it’s also real. All rational numbers are also real numbers. The correct answer is rational and real numbers, because all rational numbers are also real.

Can a rational number have 0 in its denominator yes or no?

Rational Number Definition It can be expressed in the form of a simple fraction with a numerator (p) divided by a (/) a denominator (q). The denominator (q) cannot be zero.

Can a probability be an irrational number?

On the other hand if you ignore the Heisenberg principle and assume infinite approximability then you can certainly get experiments with irrational probabilities. You can even get strictly transcendental probabilities (rational multiples of π).

When you are determining the probability of an event Why must the probability be between 0 and 1?

The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.

Is it possible for the probability of an event to be 0?

An event with a probability of zero [P(E) = 0] will never occur (an impossible event). An event with a probability of one [P(E) = 1] means the event must occur (a certain event). An event with a probability of 0.5 [P(E) = 0.5] is sometimes called a fifty-fifty chance event or an even chance event.

Are all rational numbers whole numbers prove your answers?

All rational numbers are not whole numbers. Rational numbers are defined as any number that can be expressed as a ratio or fraction with an integer…

Can a real number be rational and irrational?

A real number is a number that can be plotted on a number line. Real numbers include all rational and irrational numbers. The whole numbers are all positive counting numbers and zero.

Is zero rational number justify?

Is zero a rational number? Justify. Yes, zero is a rational number. For example p and q can be written as p/q, which are integers and q≠0.