Respuesta :
Answer:
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.
