The probability that it is Monday and that a student is absent is 31003100. Because there are 55 school days in a week, the probability that a randomly selected day of the school week is Monday is 1515. What is the probability that a student is absent given that today is Monday?
Answers
Answer: Probability that a student is absent given that today is Monday is 0.15.
Step-by-step explanation:
Since we have given that
Probability that it is Monday and that a student is absent P(M∩A) =
Number of school days in a week = 5
Probability that a randomly selected day of the school week is Monday = P(M)=
We need to find the probability that a student is absent given that today is Monday.
We will use "Conditional Probability":
Hence, Probability that a student is absent given that today is Monday is 0.15.
Final answer:
The probability that a student is absent given it's Monday is 0.15 or 15%.
Explanation:
From the problem, it's given that the joint probability of it being Monday and a student being absent is 3/100. The probability that a randomly selected day of the school week is Monday is 1/5, as there are 5 school days in a week (not 55 as stated in the question). Using these probabilities, we can find the conditional probability that a student is absent given that today is Monday, using Bayes' theorem.
To apply Bayes' theorem, we divide the joint probability by the probability of the given condition. This results in (3/100) / (1/5) = (3 / 100) * (5 / 1) = 15/100 = 0.15.
Therefore, the probability that a student is absent given that it's Monday is 0.15 or 15%.
Learn more about Conditional Probability here:
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let T be the sales of the Tri City Company and
let S be the sales of the Solly Company
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T=4S (1)
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