Events A and B are mutually exclusive Suppose event A occurs

Events A and B are mutually exclusive. Suppose event A occurs with probability 0.01 and even B occurs with probability 0.71. Compute the probability that B occurs A does not occur. Compute the probability that either B occurs without A occuring or A and B both occur

Solution

Mutually Exclusive Events:                  
Two events are mutually exclusive if they cannot occur at the same time.
An example is tossing a coin once, which can result in either heads or tails,
but not both.

P(A) = 0.01
P(B) = 0.71
P(A n B) = 0

P(A u B) = P(A)+P(B)-P(A n B)  

a)
P( B Occurs But A does n\'t Occur) = P(B) = 0.71

b)
P( Either B Occurs Without A) or P(A and B Occurs) = 0.71 + 0 = 0.71