Inheritance And Probability

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I
P
NHERITANCE AND
ROBABILITY
In genetics, when we are trying to figure out how traits may be passed from parents to offspring,
probability
is an important consideration. If we know a little bit about the trait we are studying,
we can use
probability
to
predict
how the gene in question will be transferred from parents to
offspring. As an example, let’s toss a coin:
If you examine a coin, you’ll see that it has 2 sides—heads and tails—and so there are 2 possible
outcomes when the coin is tossed: it will land with the “heads” side up, or with the “tails” side up.
When you toss the coin, the
probability
of getting a “heads” is ½, or 50%. This represents the
number of desired outcomes (heads = 1) divided by the number of possible outcomes (heads +
tails = 2). There is also a probability of ½ that we will get a “tails” if we toss the coin. If we toss
our coin only two times, we might get 2 “heads”, 2 “tails”, or 1 “heads” and 1 “tails.” But the
more times we toss our coin, the more likely we are to get closer and closer to our
expected
probability
of 50% “heads” and 50% “tails.” Based upon what we know about coins, we form an
hypothesis
that the probability of getting a “heads” when we toss the coin is ½ or 50%. Then we
test
our hypothesis by tossing the coin and recording the results.
Eye color in mice
Now that we’ve explored how probability is important in genetics, let’s investigate the
inheritance of a genetic trait in mice that is determined by a
single
gene. Mice may have either
black eyes or red eyes, and from the work of other mouse researchers we know that pure black-
eyed mice bred to pure red-eyed mice always produce offspring with black eyes. Thus, we say
that the gene for black eyes is
dominant
and the gene for red eyes is recessive, because the gene
for black eyes “dominates” the gene for red eyes.
In genetics, it is often useful to represent genetic crosses like the one described above using a
Punnet
square:
We’ll represent the mouse eye color gene by the letter B. The dominant gene for black eyes will
be designated by “B”; the recessive gene for red eyes by “b”. In the cross described above,
because Dad is a “pure” black-eyed mouse, he’s designated as BB. Mom is a “pure” red-eyed
mouse, designated by bb.
Dad’s genes
pure black eyes (BB)
BB
bb
X
B
B
Dad can produce gametes
that have only “B” genes.
Mom can produce gametes
b
Bb
Bb
Offspring:
that have only “b” genes.
all
All offspring will be
Bb
and
black eyes
have black eyes.
Bb
Bb
(Bb)
b
genetics & probablility
Savannah River Ecology Laboratory [

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