# More Crosses with Pea Plants: The Principle of Independent Assortment In pea plants, long stems are dominant to short stems, purple flowers are dominant to white, and round peas are dominant to wrinkled. Each trait is determined by a single, different gene. A plant that is heterozygous at all three loci is self-crossed, and 2,048 progeny are examined. How many of these plants would you expect to be long stemmed with purple flowers, producing wrinkled peas?

### Human Heredity: Principles and Iss...

11th Edition
Michael Cummings
Publisher: Cengage Learning
ISBN: 9781305251052

Chapter
Section

### Human Heredity: Principles and Iss...

11th Edition
Michael Cummings
Publisher: Cengage Learning
ISBN: 9781305251052
Chapter 3, Problem 22QP
Textbook Problem
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## More Crosses with Pea Plants: The Principle of Independent AssortmentIn pea plants, long stems are dominant to short stems, purple flowers are dominant to white, and round peas are dominant to wrinkled. Each trait is determined by a single, different gene. A plant that is heterozygous at all three loci is self-crossed, and 2,048 progeny are examined. How many of these plants would you expect to be long stemmed with purple flowers, producing wrinkled peas?

Summary Introduction

To predict: The number of plants that are produced with the heterozygous genotype for three different traits.

Introduction: The Mendelian experiment was based on seven important characters expressed by the pea plant. The mode of inheritance performed and studied by Gregor Mendel on Pisum sativum leads to the development of Mendelian laws of genetics.

### Explanation of Solution

The hybrid with three characters can be depicted by using a trihybrid cross. The gametes formed by the parent will be equal to 23 that is 8. The gametes come from both the parents. Thus, the total number of the hybrids formed will equal to 8×8 that is 64. Out of the 64 hybrids, the plant that is heterozygous for all the three traits will be 8 (23).

Hence, the probability for the heterozygous plant to occur is:

Theheterozygousplantsproduced=23=8

The probability of these heterozygous plants to occur among 64 hybrids is:

=864=18

Thus, among 2048 plants, the plants that will be heterozygous for all the three traits will be:

Theheterozygousplantsamong64plantsintrihybridcrossis18

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