If a and b are two mutually exclusive events with p(a) = .25 and p(b) = .65,

a) p(a and b) =
b) p( a or b) =
c) p(not a) =
d) p(not b) =
e) p(not (a or b))=
f) p( a and not b) =

 The required probabilities are

(a) 0,  (b) 0.90,  (c) 0.75,  (d) 0.35,  (e) 0.10  and  (f) 0.25.

Step-by-step explanation:  Given that A and B are two mutually exclusive events with P(A) = 0.25 and P(B) = 0.65.

We know that, for any two mutually exclusive events X and Y, we have

(a) Since A and B are mutually exclusive events, so

(b) From Addition theorem of probability, we have

(c) We have

(d) We have

(e) We have

(f) We have

Thus, the required probabilities are

(a) 0,  (b) 0.90,  (c) 0.75,  (d) 0.35,  (e) 0.10  and  (f) 0.25.

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

75%

step-by-step explanation: