If you have a bag of marbles that contains either 10 white marbles or 5 white marbles and 1 blue marble, what is your probability of pulling out a white marble? What is your probability of pulling out the blue marble?
2007-01-28 03:34:18 · 7 answers · asked by andrew b 1 in Science & Mathematics ➔ Mathematics
the four previous responders apparently assumed that there is just one large bag of marbles, with the 10 white AND the 5 white / 1 blue (although some seem to think there are only 5 white marbles in the bag).
But you said that there is one bag and you don't know which set of marbles it contains.
In order to solve this problem, you need to know the probability that it is case one (10 white) or case two. If the probability of each is one-half, the problem is solved as follows:
0.50 chance they're all white x 1.00 chance that you'd draw white in that case = 0.50 overall probability of drawing a white.marble IN THIS WAY
0.50 chance they're 5 white & 1 blue x 5/6 probability that you'd draw white in that case = 5/12 probability of drawing a white.marble IN THIS WAY
Total probability of drawing white = 1/2 + 5/12 = 11/12
Probability of drawing blue can be worked out by the same process, or you can just subtract 11/12 from 1 to get 1/12.
2007-01-28 03:49:46 · answer #1 · answered by actuator 5 · 1⤊ 0⤋
Number total of marbles 10+5+1 =16
the probability to have 1 white marble in 1 try is 5/16
The probability to have the bue is 1/16
2007-01-28 03:48:09 · answer #2 · answered by maussy 7 · 0⤊ 1⤋
Well, you have 16 marbles in all. Since there are 5 white marbles, you have 5 changes in 16 of picking one. Since there is only one blue marble, you have 1 chance in 16 of picking that color.
2007-01-28 03:39:08 · answer #3 · answered by clydesdale1981 3 · 1⤊ 1⤋
the question could be read 2 ways
and also everyone seems to have read the question as 10 white marbles AND 5 white marbles
2007-01-28 03:49:49 · answer #4 · answered by becky 2 · 0⤊ 1⤋
you have 15 white mables and 1 blue marble
Probability of getting a white marble is 15/16
probability of getting a blue marble is 1/16
2007-01-28 03:41:44 · answer #5 · answered by 7 · 0⤊ 3⤋
they are self reliant activities,so: p(a and b) = p(a) x p(b) contained in the first bag the prospect for a eco-friendly marble is two/6=a million/3 contained in the second one bag the prospect of a eco-friendly marble is 3/4 so the prospect if someone randomly attracts one marble from each and every bag for a eco-friendly one is: a million/3 x 3/4 = 3/12 = a million/4
2016-12-03 03:49:02 · answer #6 · answered by Anonymous · 0⤊ 0⤋
1/16 = 1blue out of 16 balls
2007-01-28 03:44:59 · answer #7 · answered by go~ness! 2 · 0⤊ 1⤋