SOLUTION: A box contains 300 discs of different colours. There are 100 pink discs, 100 blue discs and 100 orange discs. The discs of each colour are numbered from 0 to 99. Five discs are se

Question 1201360: A box contains 300 discs of different colours. There are 100 pink discs, 100 blue discs and 100 orange
discs. The discs of each colour are numbered from 0 to 99. Five discs are selected at random, one at
a time, with replacement. Find
(i) the probability that no orange discs are selected
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.
A box contains 300 discs of different colours.
There are 100 pink discs, 100 blue discs and 100 orange discs.
The discs of each colour are numbered from 0 to 99.
Five discs are selected at random, one at a time, with replacement. Find
(i) the probability that no orange discs are selected
~~~~~~~~~~~~~~~~~~~~~

The fact that the experiment is repeated with replacement means that every time 
the initial conditions remain the same.


Therefore, in each selection of every of 5 discs, the probability that 
no orange discs are selected is   = .


Therefore, the probability that no orange discs are selected in all 5 selections is

     =  =  = 0.131687243,  or  0.1317 (rounded).    ANSWER

Solved

RELATED QUESTIONS
a bag contains 6 blue discs 10 orange discs and 4 red discs if a disc is is picked at... (answered by Fombitz)

A bag contains 6 red discs, 3 yellow discs and an unknown number of black discs. The... (answered by ramkikk66)

There are 8 red, 5 blue and one yellow disc in a jar A. In jar B, there are 10 red, 9... (answered by ikleyn)

A student can afford to spend up to $330. on a stereo and some compact discs. if the... (answered by rfer)

Tom has 6 blue discs and 12 red discs in his pocket. How many discs does he need to take... (answered by scott8148)

a bag contains 3 red discs, 4 black discs and 5 yellow discs. 2 discs are picked one... (answered by stanbon)

Discs of radius 4 cm are cut from a rectangular plastic sheet of length 84cm and width... (answered by mananth,Alan3354)

A Box Contains 2 Red Discs And 3 Blue Discs. Two Disks Are Drawn At Random, One At A Time (answered by Fombitz)

Jenny has three more than twice the number of compact discs as Joshua. If Jenny has 27... (answered by TimothyLamb)