A bag contains 6 black and 8 white balls (14 total). One ball is drawn at random. What is the probability that it is white?

Introduction / Context:Single-draw colour probability with equally likely balls is computed by favourable/total.

Given Data / Assumptions:

• White = 8, Black = 6, Total = 14.

Concept / Approach:P(white) = 8/14, then reduce the fraction.

Step-by-Step Solution:P = 8/14 = 4/7 after dividing by 2.

Verification / Alternative check:P(black) = 6/14 = 3/7; 4/7 + 3/7 = 1 confirms complementarity.

Why Other Options Are Wrong:3/4 and 4/5 overstate the probability; 1/8 confuses with the inverse count.

Common Pitfalls:Not simplifying the fraction; mixing counts for colours.

Final Answer:4/7