Attached is a table. I found the exercise on another page on the internet and the sample of 100 individuals was categorised on a table - easier to understand than as it is presented here.
<span>"(a) what is the probability that a random sampled individual, gene 1 is dominant" - We should first add up all of the individuals that are dominant for gene 1 (56+24) and then divide it by the total number of individuals (100).
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=0.8
<span>The probability is of 8 in 10 individuals.
"</span><span>(b) what is the probability that a random sampled individual, gene 2 is dominant" - Follow the same logic as in the previous question.
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=0.7
<span>The probability is of 7 in 10 individuals.
</span>"<span>(c) given that gene 1 is dominant, what is the probability that gene 2 is dominant" - Because we are considering those that are dominant for gene 1, our total number of individuals is the total individuals that are dominant for gene 1 and not the whole 100. Once we have this restriction, and we want to know the probability that gene 2 is dominant in these individuals, we should also only consider those that are dominant for gene 2.
</span>
=0.7
The probability that gene 2 is dominant, given that that gene 1 is dominant, is of 7 in 10 individuals.
<span>"(a) what is the probability that a random sampled individual, gene 1 is dominant" - We should first add up all of the individuals that are dominant for gene 1 (56+24) and then divide it by the total number of individuals (100).
</span>
<span>The probability is of 8 in 10 individuals.
"</span><span>(b) what is the probability that a random sampled individual, gene 2 is dominant" - Follow the same logic as in the previous question.
</span>
<span>The probability is of 7 in 10 individuals.
</span>"<span>(c) given that gene 1 is dominant, what is the probability that gene 2 is dominant" - Because we are considering those that are dominant for gene 1, our total number of individuals is the total individuals that are dominant for gene 1 and not the whole 100. Once we have this restriction, and we want to know the probability that gene 2 is dominant in these individuals, we should also only consider those that are dominant for gene 2.
</span>
The probability that gene 2 is dominant, given that that gene 1 is dominant, is of 7 in 10 individuals.