**Directions: Study the following bar chart carefully and answer the questions given beside.**

### The bar chart below shows the total balls of three colours red, white and black, number of red balls and number of white balls, present in five different bags.

### 1 Find the probability of withdrawing a black and a white ball from bag C.

A 1/3 B2/7 C4/9 D8/17 E1/4

### 2 What is the difference of probability of drawing a black ball from bag A and probability of drawing a black ball from bag E?

A 1/5 B 2/3 C 1/6 D 2/7 E 3/5

**C**

**Number of black ball in bag A = 24 – (10 + 8) = 6**

**Number of black ball in bag E = 12 – (5 + 2) = 5**

**Diffarnce= 5/12-6/24=1/6**

### 3 3 balls are drawn from bag D. What is the probability that all balls are of different colours?

A 7/41 B 12/61 C 8/57 D 3/13 E 11/53

**C**

**Number of black ball in bag D = 20 – (8 + 10) = 2**

**Probability= 8C1X10C1X2C1/20C3=8/57**

### 4 If all balls from bag B is added in bag E and then black ball is withdrawn from bag E. Find the probability.

A 4/15 B 1/5 C 7/13 D 4/9 E 3/11

**Correct Option: A**

**Number of black ball in bag B = 18 – (9 + 6) = 3**

**Number of black ball in bag E = 12 – (5 + 2) = 5**

**Number of black ball in bag E after addition = 3 + 5 = 8**

**Total number of balls in bag E after addition = 18 + 12 = 30**

**Probability= 8/30 =4/15**

## 5 2 balls are drawn from C. What is the probability that both balls are white in colour?

A 6/11 B 3/ 8 C 2/5 D 1/7 E 3/4

**D**

**Number of black ball in bag C = 15 – (4 + 6) = 5**

**probability=6C2/15C2=1/7**