P(A|B) = P(A ∪ B)/P(B)
P(A|B) = (6/15)/(4/15) = 3/2.
If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(A|B)
Options:
(A) 1/2
(B) 2/3
(C) 3/2
(D) 4/5
(E) 4/7
(C)

Total number of balls = 9 + 3 + 4
Two balls can be drawn from 16 balls in ¹⁶C₂ ways.
A bag contains nine black balls, three red balls and four red balls. In how many ways can two balls be drawn from the bag?
Options:
(A) ¹⁶C₂
(B) ⁹C₂
(C) ³C₂
(D) ¹²C₂
(E) ¹⁴C₂
(A)

1. Subtract 1 from both sides: 6x - 1 + 1 = -13 + 1 2. Simplify both sides: 6x = -12 3. Divide both sides by 6: 4. Simplify both sides: x = -2

Solve below question 6x - 1 = -13
Options:
(A) -8
(B) -2
(C) -5
(D) -4
(E) 1
(B)