Number of red marbles = 5
Number of white marbles = 8
and number of green marbles = 4
The total number of marbles in the box
= 5 + 8 + 4 = 17.
When one marble is drawn from the box, then the total number of all possible outcomes = 17
(i) Let the probability of the red marble drawn be R.
∴ The number of favourable outcomes of event R = 5.
∴ P(R)
= \(\frac { 5 }{ 17 }\)
(ii) The number of favourable outcomes of the white marble drawn (W) = 8.
∴ The probability that the marble drawn is white P(W)
= \(\frac { 8 }{ 17 }\)
(iii) The number of favourable outcomes that the drawn marble is not green
= 5 + 8 = 13.
∴ The probability that the marble drawn is not green.
Number of favourable out comes
= \(\frac { 13 }{ 17 }\)