9. Five mark exercise problems - III

1. In a box there are \(20\) non-defective and some defective bulbs. If the probability that a bulb selected at random from the box found to be defective is \(\frac{3}{8}\) then, find the number of defective bulbs.

 

Answer:

 

The number of defective bulbs \(=\) .

 

2. The king and queen of diamonds, queen and jack of hearts, jack and king of spades are removed from a deck of \(52\) playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. Determine the probability that the card is (i) a clavor (ii) a queen of red card (iii) a king of black card.

 

Answer:

 

(i) A clavor \(=\) $\frac{i}{i}$

 

(ii) A queen of red card \(=\)

 

(iii) A king of black card \(=\) $\frac{i}{i}$

 

3. Some boys are playing a game, in which the stone thrown by them landing in a circular region (given in the figure) is considered as win and landing other than the circular region is considered as loss. What is the probability to win the game?

 

 

Answer:

 

The probability of winning the game \(=\) $\frac{i}{i}$