Fifty seeds were selected at random from each of 5 bags of seeds , and were kept under standardised conditions favourable to germination. After 20 days. the number of seeds which had germinated in each collection were counted and recorded as follows :
`{:("Bag",1,2,3,4,5),("Number of seeds",40,48,42,39,41),("germinated",,,,,):}`
What is the probability of germination of
more than 40 seeds in a bag ?

Answer

To solve the problem of finding the probability of germination of more than 40 seeds in a bag, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Data**: We have the number of seeds that germinated from each of the 5 bags:
- Bag 1: 40 seeds
- Bag 2: 48 seeds
- Bag 3: 42 seeds
- Bag 4: 39 seeds
- Bag 5: 41 seeds

2. **Determine the Favorable Cases**: We need to count how many bags had more than 40 seeds germinated.
- Bag 1: 40 (not more than 40)
- Bag 2: 48 (more than 40)
- Bag 3: 42 (more than 40)
- Bag 4: 39 (not more than 40)
- Bag 5: 41 (more than 40)

From the above, we see that bags 2, 3, and 5 have more than 40 seeds germinated. Thus, there are **3 favorable cases**.

3. **Total Number of Bags**: The total number of bags is 5.

4. **Calculate the Probability**: The probability (P) of germination of more than 40 seeds in a bag is given by the formula:
\[ P(\text{more than 40 seeds}) = \frac{\text{Number of favorable cases}}{\text{Total number of cases}} = \frac{3}{5} \]

5. **Convert to Decimal**: To express this probability in decimal form:
\[ P = \frac{3}{5} = 0.6 \]

### Final Answer:
The probability of germination of more than 40 seeds in a bag is **0.6**.

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