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Peas in a Pod

Age 14 to 16
Challenge Level Yellow starYellow star
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Just using the table, we know that parent 1 had two Y genes and grandparent 4 had two s genes, because yellow and short genes are both recessive. So parent 2 must have inherited a short gene from grandparent 4, which means that parent 2's height genes must be ts. The tall gene must have come from grandparent 3, so grandparent 3 must have been tall.

She knows it won't be the same height and the same colour as grandparent 3.

This means the plant can't be tall and green. We know it could be tall, because both its parents were tall. Therefore it can't be green. Green is dominant, so parent 2 must have been yellow.

Coola knows that there is a small chance the plant will be the same height and colour as grandparent 1, but it is more likely it will be the same height and colour as parent 1.

The plant will certainly be yellow, and it is more likely to be tall than short. Therefore grandparent 1 must have been short.

1. Can you determine the colour of parent 2? Yellow

2. Can you describe the height of grandparents 1 and 2? Grandparent 1 was short and grandparent 2 was tall

3. How likely is it that the pea will grow into a short yellow plant? For this to happen, the pea must have a short gene from parent 1 (1 in 2 chance) and a short gene from parent 2 (1 in 2 chance). Therefore the probability of it growing into a short plant is 1 in 4. It will definitely be yellow, so the answer is 1 in 4. This is also shown in the table below.

   parent 1
  short gene  
parent 1
  tall gene  
parent 2
  short gene  
short (ss) tall (ts)
parent 2
tall gene
 
tall (ts) tall (tt)

4. How likely is it that the plant will be green? Impossible

 

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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