$100$ seeds were selected at random from each of $5$ bags of seeds,and were kept under standardised conditions equally favourable to germination. After some 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 germinated $76, 89, 65, 58, 85$

What is the probability of germination of:
$(1)$ more than $60$ seeds in a bag?
$(2)$ less than $60$ seeds in a bag?
$(3)$ more than $90$ seeds in a bag?

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(A) Total number of bags = $5$.
$(1)$ Number of bags in which more than $60$ seeds germinated = $4$ (Bags $1, 2, 3, 5$ have $76, 89, 65, 85$ seeds respectively).
Probability = $\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}} = \frac{4}{5} = 0.8$.
$(2)$ Number of bags in which less than $60$ seeds germinated = $1$ (Bag $4$ has $58$ seeds).
Probability = $\frac{1}{5} = 0.2$.
$(3)$ Number of bags in which more than $90$ seeds germinated = $0$.
Probability = $\frac{0}{5} = 0$.

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Similar Questions

$A$ company selected $4000$ households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information obtained is listed in the following table:
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Find the probability of a household not having any television.

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