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19 Oct 2022, 02:33
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Lily has only red and blue balls in a jar. If she removes three balls, is the probability of getting all red balls greater than the probability of getting at least one blue ball?
(1) The number of red balls is more than three times the number of blue balls.
(2) Less than (1)/(4) th of the balls in the jar are blue.
(1) The number of red balls is more than three times the number of blue balls.
(2) Less than (1)/(4) th of the balls in the jar are blue.
19 Oct 2022, 04:43
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Is P(all 3 red) > P (atleast 1 blue) ?
1. The number of red balls is more than three times the number of blue balls.
assume red ball = 10, blue = 3
P(all3 red) = 10C3/ 13C3 = 120/286
P(atleast 1 blue) = 1 - (all 3 red)
= 1- 120/286
= 166/286
so ans is YES, hold on to A.
2. Less than 1/4 th of the balls in the jar are blue.
assume red ball = 10, blue = 2
similar calculations as above, ans is yes again, eliminate A, choose D.
---------------------------
Not sure if my process and answer is correct...experts pls help.
Also took more than 3 mins,..i am sure it can be done faster..
1. The number of red balls is more than three times the number of blue balls.
assume red ball = 10, blue = 3
P(all3 red) = 10C3/ 13C3 = 120/286
P(atleast 1 blue) = 1 - (all 3 red)
= 1- 120/286
= 166/286
so ans is YES, hold on to A.
2. Less than 1/4 th of the balls in the jar are blue.
assume red ball = 10, blue = 2
similar calculations as above, ans is yes again, eliminate A, choose D.
---------------------------
Not sure if my process and answer is correct...experts pls help.
Also took more than 3 mins,..i am sure it can be done faster..
29 Oct 2022, 02:47
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