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?

Difficulty: Easy

Correct Answer: 4/7

Explanation:


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

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