
Mendel selected 7 pairs of pure or true breeding varieties as the starting material for his experiments. On self pollination or self breeding, a pure variety gives rise to offspring having similar trait. e.g., tall variety with tall offspring, a purple flowered variety with purple flowered offspring, etc. Mendel employed seven traits of characters for his experimentation, one from each variety.
Mendel performed reciprocal crosses between plants having alternate forms of a trait, tall and dwarf, red flowered and white flowered. In reciprocal crosses pollen of one form were dusted over the stigma of the other form and vice versa, e.g., pollen from flowers of tall plants to emasculated flowers of dwarf plants and pollen from flowers of dwarf plants to emasculated flowers of tall plants. The hand pollinated flowers were covered with paper bags in order to avoid contamination from foreign pollen. The cross in which only two alternate forms of a single trait or character are taken into consideration is called monohybridcross. Mendel also performed crosses involving two characters. They are called dihybrid crosses. Trihybrid and polyhybrid crosseswere performed as well. The seeds of the cross or crosses were collected and sown next year. The hybrid offspring including the seeds constitute the nextgeneration termed first filial or F1 generation.
The plants of F1 generation were allowed to covered with paper bags from the beginning. Mendel collected the seeds and raised a new generation of plants. The seeds and plants raised from them constitute the second final or F2 generation. Further self pollination produced F3 or third fillial generation. Mendel kept record of each generation and observed as follows.
When only a single pair of contrasting or differentiating characters is considered in a cross (or inheritance of only one pair of contrasting characters is studied in a cross), it is called monohybrid cross, e.g. ;

Fig: Monohybrid cross
Phenotypic ratio in F2 gen. of monohybrid cross = 3 : 1 (Tall) (Dwarf)
Genotypic ratio in F2 gen. of monohybrid cross = 1 : 2 : 1 (Pure tall) (Hybrid tall) (Dwarf)
The two forms of the trait appear in F2 generation in ratio of three dominant to one recessive, 3 : 1. It is also called monohybrid ratio. For example, in the character of height (cross tall X dwarf) Mendel obtained 787 tall and 277 dwarf plants (ratio 2.84: 1). A similar result for flower colour was 705 violet to 224 white (ratio 3.15 : 1).
Similar results were obtained with reciprocal crosses also. A reciprocal crosses involves the same traits but carried by sexes opposite to those in the original or first cross.
When F1 individual (Tt) is crossed with one of the two parents, either tall (TT) or dwarf (tt), such a cross is called the back cross.
There are two possibilities in such a cross :

Back crosses are used by plant breeders to rapidly improve a variety by making a useful trait (gene) homozygous, that is pure.
Crossing of F1 hybrid with its homozygous recessive parent is called test cross and the progeny of test cross is called test cross progeny.

Fig: Monohybrid Test Cross
Thus, monohybrid test cross ratio = 1 : 1
Dihybrid Test Cross

Fig: Dihybrid Test Cross
So dihybrid test cross ratio = 1 : 1 : 1 : 1
It involves crossing of a trihybrid (Rr Yy Cc) with triple recessive (rr yy cc). The eight different phenotypes will be obtained in 1 : 1 : 1 : 1 : 1 : 1 : 1 : 1 ratio.
The test cross reveals the genotype of an organism displaying the dominant phenotype, hence its name.
Mendel got the following results from his monohybrid crosses :
From the results of his monohybrid crosses, Mendel found out the following conclusions :–
From the results of his monohybrid crosses, Mendel found out the following conclusions :–
In his law of Segregation, Mendel predicted the occurrence of meiosis, long before it was discovered.
Such a cross in which two pairs of contrasting characters are taken into consideration simultaneously, is called dihybrid cross, e.g; cross between pea variety having yellow cotyledons and round (smooth) seeds with another variety having green cotyledons and wrinkled seeds.

Fig: Dihybrid cross
So in F2 generation of dihybrid cross :
Mendel got the following results from his dihybrid cross :–
From the F2 generation of a dihybrid cross, Mendel concluded as under :–
| Gene 1 | Gene 2 | Probabilities of genotypes and phenotypes |
| 1/4 RR | X 1/4 YY | = 1/16 RRYY Round Yellow |
| 2/4 Yy | = 2/16 | RRYy Round Yellow |
| 1/4 Yy | = 1/16 | RRYy Round Green |
| 2/4 Rr | X 1/4 YY = 2/16 | RRYy Round Yellow |
| 2/4 Yy | = 4/16 | RRYy Round Yellow |
| 1/4 Yy | = 2/16 | Rryy Round Green |
| 1/4 rr | X 1/4 YY = 1/16 | rrYY Wrinkled Yellow |
| 2/4 Yy | = 2/16 | rrYy Wrinkled Yellow |
| 1/4 yy | = 1/16 | rryy Wrinkled Green |
The probabilities of the F2 phenotypes of a selfed F1 dihybrid is a product of the probabilities of the separate selfed F1 monohybrid phenotypes i.e; 3/4 : 1/4
| Gene 1 | Gene 2 | Probabilities of genotypes and phenotypes |
| 3/4 Round | X 3/4 Yellow | = 9/16 Round Yellow |
| 1/4 Green | = 3/16 | Round Green |
| 1/4 Wrinkled X | 3/4 Yellow = | 3/16 Wrinkled Yellow |
| 1/4 | Green = 1/16 | Wrinkled Green |
These 9 : 3 : 3 : 1 ratios for the pairs of traits are independent of one another and that combinations turn up as expected according to chance.
Using Mendel’s peas, a cross may be arranged between a variety with yellow round seeds and red flowers (RR YYCC) and a variety with green–wrinkled seeds and white flowers (rryycc). Their gametes will contain the genes RYC and ryc and the heterozygous (trihybrid), F1 will be RrYyCc. Because of dominance, it will have round–yellow seeds and red flowers.
Given an independent assortment of the genes, this hybrid will produce eight kinds of gametes as follows :
In the F2 generation, produced by random union, these eight kinds of gametes, there will evidently be 64 possible combinations, as can be seen by constructing a checker board, representing the trihybrid cross
The eight phenotypically different kinds of peas will appear with approximately the following frequencies:
