If p(a)=2/3, p(b)= 4/5 and p(a u b) = 3/5, what is p(a u b)? a.) 14/15 b.) 13/15 c.) 8/15 d.) 11/15

From basic probability we know that if A and B are any two events in the sample space, S, then:

......(Equation 1)

In the question we have been given all the data that is required. Thus, we have: P(A)=2/3, P(B)= 4/5 and P(A U B) = 3/5.

Substituting these values in (Equation 1) we get:

This matches Option B. Therefore, Option B is the correct answer.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.