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Calculating genetic probability in cystic fibrosis

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7.6K views 23 replies 12 participants last post by  koolkiller88  
#1 ·
A 5-yr-old girl is diagnosed with cystic fibrosis. None of her siblings are affected. From the pedigree of the family. What is likelihood that II-3 is carrier of the trait?


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A- 25%
B- 33%
C- 50%
D- 66%
E- 100%
 
#2 ·
So since one child is affected in family with aut. recessive disease and parents are normal it means that both of them (parents) are Aa and Aa.chance that II-3 has trait is 50 %.


:confused:
 
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#6 ·
So since one child is affected in family with aut. recessive disease and parents are normal it means that both of them (parents) are Aa and Aa.chance that II-3 has trait is 50 %.

:confused:
:D So Aa Aa parents could have 25% AA 50% Aa and 25 aa.
since the II-3 isn't affected (not black) it leaves only first two variants. so 2 of 3. so appr. 66% ....

Didn't pay attention in the beginning.
 
#8 ·
I think is D 66%
2/3 carrier
1/3 sick
right?
:D So Aa Aa parents could have 25% AA 50% Aa and 25 aa.
since the II-3 isn't affected (not black) it leaves only first two variants. so 2 of 3. so appr. 66% ....
Didn't pay attention in the beginning.
That's conceptually incorrect. What happened to one child has no bearing on what'll happen to the next one. 25% and 50% describe the probability for each child or the overall picture you can expect to see in a very very large sample size(ideally infinity).

To give a simple and oft quoted example, if the odds of winning a mini-lotto is 1/100, and I've been buying lotto tickets without winning for the past 99 weeks, what are my chances of winning the 100th time?? That's right, 1/100! And if I've been winning the lottery for the last 99 weeks, what are the chances that I'll win the next one? Again its 1/100. Previous outcomes do not influence the next event.

Sent from my Desire HD
 
#10 ·
D) 2/3

Since we already know individual II-3 doesn't have the disease it only leaves the possibility they they're either a heterozygous carrier or homozygous normal. The probability of being homozgous affected (1/4) is obsolete since we already know they're normal.

So the probability that this individual is a carrier is 2/3 and the probability that she's homozgous normal is 1/3.
 
#11 ·
Guys, how can it be 2/3 ?

All but one (II-2) of their offspring's is affected. It doesn't mean the other's have AA,Aa,Aa genotype. They can all be carriers (Aa) or normal (AA) as far as anyone knows...

Think about it this way - They had their first child (lets say II-1)- He had 1/4 risk of being affected, 1/2 risk of being a carrier and 1/4 risk of being homozygous. Then they had their second child (let's say II-2) and again, she had the same risk! Just because they had one normal child before her doesn't mean, the affected offspring had a higher chance of being affected !!

IF they were quadruplets or some how the couple had all four children at one time .. then you would have 2/3 possibility of II-3 being a carrier. That probability would also be the same for II-1 and II-4.

I hope that's the right answer or I just made a fool of myself .. either way, please discuss and tell me if what I said makes sense or not? :eek:
 
#12 ·
Guys, how can it be 2/3 ?

All but one (II-2) of their offspring's is affected. It doesn't mean the other's have AA,Aa,Aa genotype. They can all be carriers (Aa) or normal (AA) as far as anyone knows...

Think about it this way - They had their first child (lets say II-1)- He had 1/4 risk of being affected, 1/2 risk of being a carrier and 1/4 risk of being homozygous. Then they had their second child (let's say II-2) and again, she had the same risk! Just because they had one normal child before her doesn't mean, the affected offspring had a higher chance of being affected !!

IF they were quadruplets or some how the couple had all four children at one time .. then you would have 2/3 possibility of II-3 being a carrier. That probability would also be the same for II-1 and II-4.

I hope that's the right answer or I just made a fool of myself .. either way, please discuss and tell me if what I said makes sense or not? :eek:
In AR disease, one have to eliminate the rr (homozygous) in order to make the calculation. From the possible combination:

2/3 is carrier
1/3 is non sick
 
#13 ·
Guys, how can it be 2/3 ?

All but one (II-2) of their offspring's is affected. It doesn't mean the other's have AA,Aa,Aa genotype. They can all be carriers (Aa) or normal (AA) as far as anyone knows...
Exactly, except individual II-2 who's affected, all the other offspring can be either carriers (Aa) or normal (AA), but they cannot be (aa). So that eliminates the possibility of (aa) for all the unaffected offspring, meaning now you only have 3 choices in the punnet square, the choice (aa) can be removed. Normally the punnet square has four choices: AA, Aa, Aa, aa... So with aa removed as an option, the probability of being a carrier is 2/3.
 
#15 · (Edited)
read it!!

the answer is D 66% here how i get it:

1. first thing the disease is recessive because she has the disease and non of here parents are affected.

2.draw a punnett square of here parents:

D d

D DD Dd

d Dd dd

notice that 25% affected and 50% are carrier and 25% are normal
we see form the pedigree that II-3 is carrier or normal so we cancel the chance of being affected

3. II-3 is Dd or Dd or DD so the probability of Dd is 33% so its 66% since we got 2 Dd 66% are carrier and 33% are normal
 
#24 ·
Lets extend the question.

thanks for such a nice discussion. I got it! What you guys meant to say.
But i was thinking Just imagine if the couple had 5 children then question was asked about the II 5. Then what should be the provability.
Will it be 1/4 for AA and 2/4 for Aa.
May be a idiotic question for some fella's but still wanna polish my concept. Thanks :D