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

Algebra ->  Probability-and-statistics -> 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      Log On


   



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(52778) About Me  (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  200%2F300 = 2%2F3.


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

    %282%2F3%29%5E2 = 2%5E5%2F3%5E5 = 32%2F243 = 0.131687243,  or  0.1317 (rounded).    ANSWER

Solved