Jan's hypothesis H is that her car needs a new transmission belt, and the potential evidence E is that her mechanic has said that it probably does. Which of the following cases would be a case where observing E would count as evidence in favour of H?
P(E) = 57% and P(H) = 47% 

P(H given E) = 57% and P(E given H) = 47% 

P(H) = 57% and P(H given E) = 47% 

P(H given E) = 57% and P(H) = 47% 
Say we have two events A and B and we know the probability that they occur is P(A) = 0.4 and P(B) = 0.2 respectively. What condition must be satisfied in order to say that the probability that either A or B occurs is 0.6?
The probabilities must be related. 

The probabilities must be less than one. 

The events should not both be able to happen at the same time. 

The probabilities must be independent 
Match each of the scenarios with the definition of probability it relies on:


Problem 1: P(H given E) = 57% and P(E given H) = 47%
Problem 2: P(A or B)=P(A)+P(B)P(A and B)=0.6
or, P(A and B)=0.60.6=0 (since P(A)=0.4, P(B)=0.2)
Hence A and B are mutually exclusive.
Option: The events should not both be able to happen at the same time.
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