Question
Question 15
A ball is drawn randomly from a jar that contains 8 red balls, 5 white balls, and 7 yellow balls.
Find the probability of the given events.
Write each probability as a simplified fraction.
(a)
(b)
©
A ball is drawn randomly from a jar that contains 8 red balls, 5 white balls, and 7 yellow balls.
Find the probability of the given events.
Write each probability as a simplified fraction.
(a)
(b)
©
Ask by Hodges Ward. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a) Probability of drawing a red ball:
(b) Probability of drawing a ball that is NOT red:
© Probability of drawing a green ball:
Solution
Solution
Total number of balls:
(a) Probability of drawing a red ball
(b) Probability of drawing a ball that is NOT red
Alternatively, count the non-red balls:
© Probability of drawing a green ball
Since there are no green balls in the jar:
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Simplify this solution The Deep Dive
To find the probabilities, first, we need to determine the total number of balls in the jar. There are 8 red balls, 5 white balls, and 7 yellow balls, so the total number of balls is:
Total = 8 + 5 + 7 = 20 balls.
Now let’s break down the events:
(a) The probability of drawing a red ball:
(b) The probability of drawing a ball that is NOT red:
First find the number of non-red balls:
Total non-red balls = White + Yellow = 5 + 7 = 12.
First find the number of non-red balls:
Total non-red balls = White + Yellow = 5 + 7 = 12.
© The probability of drawing a green ball:
Since there are no green balls in the jar, the probability is:
Since there are no green balls in the jar, the probability is:
So, summarizing:
(a)
(b)
©
(b)
©
