Ask Question
29 May, 18:58

A student figures that he has a 69 % chance of being let out of class late. If he leaves class late, there is a 84 % chance that he will miss his train. What is the probability that he gets out of class late and misses the train?

+2
Answers (1)
  1. 29 May, 22:24
    0
    P (MT and L) = P (Late) * P (MT) = 0.69*0.84 = 0.5796

    So then we have a 57.96 % of chance of being late and miss the train.

    Step-by-step explanation:

    Data given

    Let's define the following events:

    L = Being late, MT = Miss the train

    For this case we have the following probabilities given:

    P (L) = 0.69, P (MT|L) = 0.84

    And for this case we can assume that is possibe miss the train just and only if we are late.

    The multiplication rule (general multiplication rule) "is a way to find the probability of two events happening at the same time"

    Let A and B two events. From the general multiplication rule we have this formula:

    P (A and B) = P (B|A) P (A) = P (A|B) P (B)

    Solution for the problem

    For this case we want to find this probability P (MT and T)

    And we can use the previous rule and we have this:

    P (MT and L) = P (Late) * P (MT) = 0.69*0.84 = 0.5796

    So then we have a 57.96 % of chance of being late and miss the train.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A student figures that he has a 69 % chance of being let out of class late. If he leaves class late, there is a 84 % chance that he will ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers