1. You have three jars of gumballs. The first jar has 100 white gumballs and 25
ID: 3070995 • Letter: 1
Question
1. You have three jars of gumballs. The first jar has 100 white gumballs and 25 green, the second jar has 50 white and 150 blue, and the third jar contains 500 white and 10 red. If you randomly draw one gumball from each jar, what is the probability for all white gumballs?
2. You have three jars of gumballs. The first jar has 100 white gumballs and 25 green, the second jar has 50 white and 150 blue, and the third jar contains 500 white and 10 red. If you randomly draw one gumball from each jar, what is the probability for all white OR all colored gumballs?
3. You have three jars of gumballs. The first jar has 100 white gumballs and 25 green, the second jar has 50 white and 150 blue, and the third jar contains 500 white and 10 red. If you randomly draw one gumball from each jar, what is the probability for at least one white gumball?
I have an exam in 50 minutes. Can someone PLZ show me how work these out!! Thank you
Explanation / Answer
1) P(all white gumballs) = P(white from first jar) x P(white from second jar) x P(white from third jar)
= 100/125 x 50/200 x 500/510
= 0.1961
2) P(all white or all colored) = P(all white) + P(all colored)
= 0.1961 + 25/125 x 150/200 x 10/510
= 0.1961 + 0.0029
= 0.1990
3) P(at least one white gumball) = 1 - P(colored gumballs)
= 1 - 0.0029
= 0.9971
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