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Question
A bag contains 6 red, 5 black and 4 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is red.
Sum
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Solution
Given: A bag contains 6 red, 5 black and 4 white balls; one ball is drawn at random.
Step-wise calculation:
1. Total number of balls
= 6 + 5 + 4
= 15
2. Number of favorable outcomes (red balls) = 6.
3. Probability = `"Number of favorable outcomes"/"Total number of outcomes"`
= `6/15`
4. Simplify the fraction:
`6/15 = 2/5`
= 0.4
The probability that the ball drawn is red is `2/5` or 0.4.
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Chapter 22: Probability - Exercise 22A [Page 506]
