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A fern releases a spore packet containing 50 spores. Each spore has a 20% probability of germinating into a gametophyte. What is the expected number of gametophytes from this packet?

medium MCQ 3 marks Class 10 · Science · How do Organisms Reproduce
  1. 8
  2. 10
  3. 12
  4. 15
Answer
10

The correct answer is 10 — Thus the expected number of gametophytes is .

Step-by-step solution

  1. Probability of germination for one spore is .
  2. Expected value = number of spores × probability = .
  3. Thus the expected number of gametophytes is .
Common mistake: using 0.02 instead of 0.20 as the probability

Concept tested: Expected value in biological reproduction

Published · How this solution was prepared and checked

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