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A catch and release fisherman catches a fish and then releases the fish back into the river so as to not to harm the fish.

At a local river, 50% of the fish are white sturgeon, 35% brook trout, and 15% Chinook salmon.

If a fisherman catches then releases a fish and then catches and releases a second fish, then what is the probability that both fish he caught were white sturgeon?

Respuesta :

sqdancefan

Answer:

25%

Step-by-step explanation:

Assuming the catching of a fish is a random process and that the probability of catching any of the listed kinds of fish is proportional to their population, then the probability of catching a sturgeon is 50%. The probability of catching another one is also 50% (assuming the events are independent). So, the joint probability is the product of these:

0.50 × 0.50 = 0.25 = 25% . . . . . probability of catching 2 sturgeon in a row.

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