Question

Discuss the concept of conditional probability and in what situations it would best be used. Do your best to cite examples from your own experiences at work or home.

Answer 1

conditional probability:

• conditional probability is a proportion of the likelihood of an occasion (some specific circumstance happening) given that (by supposition, assumption, affirmation or proof) another occasion has occurred.
• If the occasion of intrigue is An and the occasion B is known or accepted to have happened, "the contingent likelihood of A given B", or "the likelihood of An under the condition B", is normally composed as P(A|B), or once in a while PB(A) or P(A/B). For instance, the likelihood that any given individual has a hack on some random day might be just 5%. In any case, on the off chance that we know or accept that the individual has a chilly, at that point they are substantially more liable to hack.
• The contingent likelihood of hacking given that you have a chilly may be a significantly higher 75%.

• The idea of contingent likelihood is a standout amongst the most key and a standout amongst the most imperative ideas in likelihood hypothesis.

example:

In a group of 100 sports car buyers, 40 bought alarm systems, 30 purchased bucket seats, and 20 purchased an alarm system and bucket seats. If a car buyer chosen at random bought an alarm system, what is the probability they also bought bucket seats?

solution:

Figure out P(A). It’s given in the question as 40%,

=40*(a/100)

= 0.4.

Figure out P(A∩B). This is the intersection of A and B: both happening together. It’s given in the question 20 out of 100 buyers, or 0.2.

Step 3: Insert your answers into the formula:
P(B|A) = P(A∩B) / P(A)

= 0.2 / 0.4

= 0.5.

The probability that a buyer bought bucket seats, given that they purchased an alarm system, is 50%.