Question:
A kitchen garden is having 20 varieties of vegetables and out of these 4 are leafy vegetables. Calculate the probability of getting a leafy vegetable
A kitchen garden is having 20 varieties of vegetables and out of these 4 are leafy vegetables. Calculate the probability of getting a leafy vegetable
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Probability = (Number of desired outcomes) / (Total number of possible outcomes).
Here, desired outcomes = 4 leafy vegetables.
Total possible outcomes = 20 vegetable varieties.
Probability = 4/20 = 1/5 = 0.2.
Updated On: Jul 2, 2026
- 0.5
- 0.4
- 0.2
- 0.1
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The Correct Option is C
Approach Solution - 1
Probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
In this case:
Number of favorable outcomes (getting a leafy vegetable) = 4 (since there are 4 leafy vegetable varieties)
Total number of possible outcomes (total varieties of vegetables) = 20 The probability of getting a leafy vegetable is: P(leafy vegetable) = \fracNumber of leafy vegetable varietiesTotal number of vegetable varieties P(leafy vegetable) = \frac420 Simplifying the fraction: P(leafy vegetable) = \frac15 Converting the fraction to a decimal: P(leafy vegetable) = 1 \div 5 = 0.2 Therefore, the probability of getting a leafy vegetable is 0.2. 0.2
Number of favorable outcomes (getting a leafy vegetable) = 4 (since there are 4 leafy vegetable varieties)
Total number of possible outcomes (total varieties of vegetables) = 20 The probability of getting a leafy vegetable is: P(leafy vegetable) = \fracNumber of leafy vegetable varietiesTotal number of vegetable varieties P(leafy vegetable) = \frac420 Simplifying the fraction: P(leafy vegetable) = \frac15 Converting the fraction to a decimal: P(leafy vegetable) = 1 \div 5 = 0.2 Therefore, the probability of getting a leafy vegetable is 0.2. 0.2
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Approach Solution -2
Complement method:
Instead of computing the probability directly, first find the probability of picking a vegetable that is not leafy. Non-leafy varieties = \( 20 - 4 = 16 \). \[ \frac{16}{20} = 0.8 \] Since "leafy" and "not leafy" are complementary events that together cover the whole sample space, \[ 1 - 0.8 = 0.2 \] This confirms the probability of getting a leafy vegetable is 0.2, the same result as the direct calculation but reached through the complement rule.
Instead of computing the probability directly, first find the probability of picking a vegetable that is not leafy. Non-leafy varieties = \( 20 - 4 = 16 \). \[ \frac{16}{20} = 0.8 \] Since "leafy" and "not leafy" are complementary events that together cover the whole sample space, \[ 1 - 0.8 = 0.2 \] This confirms the probability of getting a leafy vegetable is 0.2, the same result as the direct calculation but reached through the complement rule.
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