How do I show that the probability of it being blue is 5/28 ?
1 Answer
Apr 17, 2018
See below.
Explanation:
We can rewrite the ratio as numbers of each pencil.
#3x# yellow
#2x# blue
#5x# green
If
#3x + 6# yellow
#2x# blue
#5x# green
The probability is given by
#(3x + 6)/(3x + 6 + 2x +5x) =3/8#
#(3x+ 6)/(10x + 6) = 3/8#
#8(3x+ 6) = 3(10x + 6)#
#24x + 48 = 30x + 18#
#30 = 6x#
#x =5#
Thus there will be a total of
As required.
Hopefully this helps!