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When do you use conditional probability in a problem?
It is observed that in problems where the occurrence of one event affects the happening of the following event. These cases of probability are known as conditional probability. The probability of occurrence of any event A when another event B in relation to A has already occurred is known as conditional probability.
When are the probabilities of two independent events conditional?
In the tree diagram, the probabilities in each branch are conditional. Two events are independent if the probability of the outcome of one event does not influence the probability of the outcome of another event. Due to this reason, the conditional probability of two independent events A and B is:
Is the conditional probability of mutually exclusive events always zero?
Thus, the conditional probability of mutually exclusive events is always zero. Become a Certified Financial Modeling & Valuation Analyst (FMVA)® CFI’s Financial Modeling and Valuation Analyst (FMVA)® certification will help you gain the confidence you need in your finance career. Enroll today!
Why is the sample space restricted in conditional probabilities?
Because we know that the number rolled is in set B (odd number), part of A that is not in the intersection could be omitted and we are left with a restricted sample space B (see diagram below).
What is the probability that it is Friday and a student is absent?
The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday?
What is the probability of selecting a green ball in a draw?
Two balls are drawn without replacement. The probability of selecting a green ball and then a yellow ball is 0.28. The probability of selecting a green ball on the first draw is 0.5. Find the probability of selecting a yellow ball on the second draw, given that the first ball drawn was green.