There are 30 fish in a pond. We know that 13 of these fish are males, 4 of these males are salmon,
and there are 8 salmon in the pond. What is the probability that a randomly chosen fish is a salmon,
given that it is a male?
I think they are just asking about salmon and trying to confuse me with adding more to the question.
There are 8 salmon. My answer is 8/30 or 4/15
To confirm your answer, you can use conditional probability to find the probability that a randomly chosen fish is a salmon given that it is a male.
Conditional probability is calculated using the formula:
P(A given B) = P(A and B) / P(B)
In this case, A represents the event of choosing a salmon, and B represents the event of choosing a male fish.
We are given that there are 30 total fish, 13 of which are males. Therefore, the probability of choosing a male fish is:
P(B) = 13/30
We are also given that 4 of the males are salmon. Therefore, the probability of choosing a male and a salmon fish is:
P(A and B) = 4/30
Now, we can plug these values into the conditional probability formula:
P(A given B) = (P(A and B)) / P(B)
= (4/30) / (13/30)
= 4/13
So the probability that a randomly chosen fish is a salmon, given that it is a male, is 4/13.