Question

A box contains 100 red cards, 200 yellow cards and 50 blue cards. If a card is drawn at random from the box, then find the probability that it will be (i) a blue card (ii) not a yellow card (iii) neither yellow nor a blue card.

Answer 1

Total number of all possible outcomes = total number of balls
= 100+200+50+350.
(i) Number of blue balls = 50.
`:. ` P(getting a blue ball) = `50/350 = 1/7`.
(ii) Number of balls which are not yellow = 100+50=150.
` :. ` P(getting a ball which is not yellow) = `150/350 = 3/7`.
(iii) Number of balls which are neither yellow nor blue = 100.
`:. ` P(getting a ball which is neither yellow nor blue) ` =(100)/(350) = 2/7`.