Respuesta :
Using it's concept, it is found that there is a 0.2727 = 27.27% probability that the ball drawn is yellow.
What is a probability?
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that the probabilities are as follows:
- 1/3 probability of picking the first bag, then 3/11 probability of picking a yellow ball.
- 1/3 probability of picking the second bag, then 5/11 probability of picking a yellow ball.
- 1/3 probability of picking the third bag, then 1/11 probability of picking a yellow ball.
Then, the probability of picking a yellow ball is given by:
[tex]p = \frac{1}{3}\left(\frac{3}{11} + \frac{5}{11} + \frac{1}{11}\right) = \frac{9}{33} = 0.2727[/tex]
0.2727 = 27.27% probability that the ball drawn is yellow.
More can be learned about probabilities at https://brainly.com/question/24372153
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