Suppose a and b are mutually exclusive events, and that p(b)=0.03 and p(a or b)=0.52. find p(a)

P(A) = 0.49

Step-by-step explanation:

Given:

A and B are mutually exclusive events.

P(B) = 0.03

P(A or B) = 0.52

If two events A and B are mutually exclusive events, then there are no elements common in both the events. So, the probability of their intersection is 0.

Now, as per probability addition theorem:

P(A or B) = P(A) + P(B) + P(A and B)

For mutually exclusive events, P(A and B) = 0. So,

P(A or B) = P(A) + P(B) + 0

P(A or B) = P(A) + P(B)

Plug in the given values and solve for P(A). This gives,

0.52 = P(A) + 0.03

P(A) = 0.52 - 0.03

P(A) = 0.49

Therefore, the probability of occurrence of event A is P(A) = 0.49.

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 .