One ball is drawn at random from a bag containing 4 red balls and 8 white balls. (Enter your probabilities as fractions.) (a) What is the probability that the ball is red? (b) What is the probability that the ball green? (c) What is the probability that the ball is red or white?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Probability Exercise: Drawing Balls from a Bag**

In this exercise, we consider a scenario where one ball is drawn at random from a bag. The bag contains a total of 12 balls: 4 red balls and 8 white balls. You will calculate probabilities based on these conditions and provide your answers as fractions.

### Questions:

(a) **What is the probability that the ball is red?**

- Calculate the likelihood of drawing a red ball from the bag.

(b) **What is the probability that the ball is green?**

- Determine the probability of drawing a green ball, if any exist.

(c) **What is the probability that the ball is red or white?**

- Assess the probability of drawing either a red or a white ball.

Use these questions to enhance your understanding of basic probability concepts. Consider the total number of balls in the bag when deriving your fractions for each answer.
Transcribed Image Text:**Probability Exercise: Drawing Balls from a Bag** In this exercise, we consider a scenario where one ball is drawn at random from a bag. The bag contains a total of 12 balls: 4 red balls and 8 white balls. You will calculate probabilities based on these conditions and provide your answers as fractions. ### Questions: (a) **What is the probability that the ball is red?** - Calculate the likelihood of drawing a red ball from the bag. (b) **What is the probability that the ball is green?** - Determine the probability of drawing a green ball, if any exist. (c) **What is the probability that the ball is red or white?** - Assess the probability of drawing either a red or a white ball. Use these questions to enhance your understanding of basic probability concepts. Consider the total number of balls in the bag when deriving your fractions for each answer.
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