Question

In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of  green colour 

Answer 1

There are 44 identical cards with figure of circle or square in the bag.
∴ Total number of outcomes = 44

Number of cards with green circle = 24 − 9 = 15
Number of cards with green square = 20 − 11 = 9
∴ Number of cards with green colour figure = 15 + 9 = 24
So, the favourable number of outcomes is 24.
∴ P(card drawn has the figure of green colour) = \[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{24}{44} = \frac{6}{11}\]