Question

A certain system can experience three different types of defects. Let Ai, i = 1, 2, 3, denote the event that the system has a defect of type i.
Suppose that P(A1) = 0.12, P(A2) = 0.07, P(A3) = 0.05, P(A1 ∪ A2) = 0.13, P(A1 ∪ A3) = 0.14, P(A2 ∪ A3) = 0.10, P(A1 ∩ A2 ∩ A3) = 0.01.
What is the probability that the system has both type 1 and type 2 defects?

Answer 1

maybe a venn would organize the data visually?

Answer 2

i just need formula .

Answer 3

i dont memorize formulas

Answer 4

if a formula is forgotten, we can work the venn most likely. but thats up to you.

Answer 5

ok can you help me about this what is this formula.
p(A and B) = p(A)+ p(B) - p(A or B).
is it true?

Answer 6

if we just have 2 sets, sure

Answer 7

is it hold on my question?

Answer 8

trying to determine that :)



i cant see why it wouldnt hold

Answer 9

ok thanks

Answer 10

good luck