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 one year ago
Twenty marbles are used to spell a word—9 blue ones, 5 red ones, 3 yellow ones and 3 green ones.?
Twenty marbles are used to spell a word—9 blue ones, 5 red ones, 3 yellow ones and 3 green ones.? If two marbles are drawn from the set of twenty marbles at random in succession and without replacement, what is the probability (as a reduced fraction) of choosing a marble other than green each time
 one year ago
Twenty marbles are used to spell a word—9 blue ones, 5 red ones, 3 yellow ones and 3 green ones.? Twenty marbles are used to spell a word—9 blue ones, 5 red ones, 3 yellow ones and 3 green ones.? If two marbles are drawn from the set of twenty marbles at random in succession and without replacement, what is the probability (as a reduced fraction) of choosing a marble other than green each time

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kropot72
 one year ago
Best ResponseYou've already chosen the best response.0On the first draw there are 17 marbles that are not green. So the probability of choosing a marble other than green is 17/20. Having drawn a marble other than green on the first draw, on the second draw there are 16 marbles that are not green. So the probability of choosing a marble other than green is 16/9. The required probability is the product of the above 2 values of probability; \[P(no\ green\ after\ 2\ draws)=\frac{17}{20}\times \frac{16}{19}=you\ can\ calculate\]

camilita0623
 one year ago
Best ResponseYou've already chosen the best response.0that what I got but their is no answer like that. The answer choice is 1/3, 68/95, 1/11, 3/17

camilita0623
 one year ago
Best ResponseYou've already chosen the best response.0so I don't know what to do cause I got 16/19 but is not their

kropot72
 one year ago
Best ResponseYou've already chosen the best response.016/19 is not the correct result. When you reduce the fraction by dividing 16 by 4 and dividing 20 by 4 you can get the correct result as follows: \[\frac{17}{20}\times\frac{16}{19}=\frac{17\times4}{5\times19}=you\ can\ calculate\]

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Yes. That is the correct choice.

camilita0623
 one year ago
Best ResponseYou've already chosen the best response.0is that the reduce franction?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Yes, it is. the original fraction is \[\frac{17\times16}{20\times19}=\frac{272}{380}\] 4 is a common factor to numerator and denominator. Therefore we can divide the numerator and the denominator by 4 giving:\[\frac{\frac{272}{4}}{\frac{380}{4}}=\frac{68}{95}\] In the above way the fraction has been reduced.

camilita0623
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much, you save my life :)
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