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in Mathematics of Chance by (30.9k points)
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A bag contains 10 blue balls and 12 yellow balls. Another contains 15 blue balls and 7 yellow balls. 

a. What is the probability of getting a yellow ball from the first bag? 

b. What is the probability of getting a yellow ball from the second bag? 

C. If all the balls are put in a single bag, what is the probability of getting a yellow ball from it?

1 Answer

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Best answer

a. Total number of balls in the first bag = 10 + 12 =22, Number of yellow balls = 12

Probability of getting a yellow ball = \(\frac{12}{22}=\frac{6}{11}\)

b. Total number of balls in the second bag = 15 + 7 = 22, Number of a yellow ball = 7

Probability of getting a yellow ball = \(\frac{7}{22}\)

c. Total number of balls = 22 + 22 = 44 Number of yellow balls = 12 + 7 = 19

Probability of getting a yellow ball = \(\frac{19}{44}\)

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