Events a and b are overlapping. p(a) = 4/11 ; p(b) = 3/11 , p(a and b) = 2/11 . find p(a or b).

We know that:

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

so:

P(A or B) = 4/11 + 3/11 - 2/11 = (4+3-2)/11 = 5/11

1st integer x

2nd integer x+1

3rd integer x+2

4th integer x+3

x+x+1 +x+2+x+3 =74

combine like terms

4x+6 = 74

subtract 6 from each side

4x = 68

x = 17

the integers are 17,18,19,20