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  • Mendel crossed tall pea plants with dwarf ones. The F1 plants were all tall. When these F1 plants were selfed to produce F2 generation, he got a 3:1 tall to dwarf ratio in the offspring. What is th

Mendel crossed tall pea plants with dwarf ones. The F1 plants were all tall. When these F1 plants were selfed to produce F2 generation, he got a 3:1 tall to dwarf ratio in the offspring. What is the probability that out of three plants (of F2 generation) picked up at random two would be dwarf and one would be tall?

 

Option: 1

3/4


Option: 2

3/8


Option: 3

9/64


Option: 4

 9/32


Answers (1)

best_answer

We know that, \mathrm{P= n!/x!\left ( n-x \right )!p^{x}q^{n-x}}

where, n = total number of events = 3, x = number of events of dwarf plants = 2
p = probability of dwarf plants = 1/4, q = probability of tall plants = 3/4

Probability that two would be dwarf and one would be tall \mathrm{= p= !3/!2\, !3-2 \times \left ( 1/4 \right )^{2}\times \left ( 3/4 \right )^{3-2}= 3\times 2 \times 1/2 \times 1 \times 1/16\times 3/4= 9/64 }

Hence, the correct answer is option 3. 

Posted by

Divya Prakash Singh

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