Question

The probability of both sample information and a particular state of nature occurring simultaneously is known as _____ probability.
a. conditional
b. marginal
c. unconditional
d. joint

Answer 1

The correct answer is d.joint probability.

What is joint probability?

Given two random variables that are defined on the same probability space,the joint probability is a statical measure that calculates the likelihood of two events occuring together and at that same point of time.

In the given question it is said that the probability of both sample information and a particular state of nature occurring simultaneously.

So, when the state of nature of sample remains unchanged it will not affect the sample so does the output.

Hence when without affecting the nature of sample the sample information remains intact. If the nature of sample is changed the required out will also change.

⇒Since both the measure are occuring simultaneously without changing the nature of sample.

hence, it is joint probability.

whereas,

• In conditional probability, the possibility of the event depends on the previous events,

• In marginal probability the outcome is independent of another variable, and

• in unconditional probability the chances that a particular even will occur without any external circumstances.

Hence, in the given condition the correct answer is d. joint.

More about joint probability :

brainly.com/question/27098956

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