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Fifty seeds were selected at random from...

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
49 seeds in a bag ?

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of finding the probability of germination of 49 seeds in a bag, we can follow these steps: ### Step 1: Understand the Problem We need to find the probability of exactly 49 seeds germinating in any of the bags. We have data for 5 bags, and we need to check how many seeds germinated in each bag. ### Step 2: Analyze the Data The number of seeds that germinated in each bag is as follows: - Bag 1: 40 seeds - Bag 2: 48 seeds - Bag 3: 42 seeds - Bag 4: 39 seeds - Bag 5: 41 seeds ### Step 3: Identify Favorable Outcomes To find the probability of germination of 49 seeds, we need to check if any of the bags had exactly 49 seeds germinated. Looking at the data: - Bag 1: 40 - Bag 2: 48 - Bag 3: 42 - Bag 4: 39 - Bag 5: 41 None of the bags show 49 seeds germinated. ### Step 4: Count the Favorable Cases Since no bag has 49 seeds that germinated, the number of favorable cases is 0. ### Step 5: Calculate the Total Outcomes The total number of bags is 5. Therefore, the total outcomes are 5. ### Step 6: Calculate the Probability The probability \( P \) of an event is given by the formula: \[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \] Substituting the values: \[ P(\text{49 seeds germinated}) = \frac{0}{5} = 0 \] ### Final Answer The probability of germination of 49 seeds in a bag is \( 0 \). ---
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