How many white marbles does the jar contain? , Mathematics

Assignment Help:

A jar contains 54 marbles each of which is blue , green or white. The probability of selecting a blue marble at random from the jar is 1/3  and the probability of selecting a green marble at random is 4/9 . How many white marbles does the jar contain?                                                                                               (Ans:12)

Ans: Let there be b blue, g green and w white marbles in the marbles in the jar. Then, b + g + w = 54

∴ P (Selecting a blue marble) =     b/54

It is given that the probability of selecting a blue marble is 1/3 .

∴ 1/3 =  b/54  => b = 18

We have,

P(Selecting a green marble) = 4/9

=>  g/54  = 4/9

[Q P (Selecting a green marble) = 4/9 (Given)]

=> g = 24

Substituting the values of b and g in (i), we get

18 + 24 + w = 54 => w = 12


Related Discussions:- How many white marbles does the jar contain?

Law of Cosines, The law of cosines can only be applied to acute triangles. ...

The law of cosines can only be applied to acute triangles. Is this true or false?

Viscosity measure, get the viscosity of particle to apply the stoke''s law

get the viscosity of particle to apply the stoke''s law

Percentage, how do you you find 40% if you 35 out of 40

how do you you find 40% if you 35 out of 40

Possible outcome of a coin - probability based question, A coin is tossed t...

A coin is tossed twice and the four possible outcomes are assumed to be equally likely. If A is the event,  both head and tail have appeared , and B be the event at most one tail i

World problem, Buses to Acton leave a bus station every 24 minutes. Buses t...

Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave the same bus station every 20 minutes. A bus to Acton and a bus to Barton both leave the bus station at 9

Geometry, In the diagram points V,W,X,Y and Z are collinear, VZ=52, XZ= 20 ...

In the diagram points V,W,X,Y and Z are collinear, VZ=52, XZ= 20 AND WX=XY=YZ. Find the indicated length of WX, VW, WY, VX, WZ, and VY

Weighted mean-progression, Weighted mean - It is the mean which employ...

Weighted mean - It is the mean which employs arbitrarily given weights - This is a useful measure especially whereas assessment is being done yet the situation prevailing a

Find a maximum flow and a minimum cut, Use the maximum flow algorithm to fi...

Use the maximum flow algorithm to find a maximum flow and a minimum cut in the given network, where the capacities of arc CF, EC , DE and BD are w = 13, x = 7, y =1, a

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd