Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing $5$ male fish and $8$ female fish What is the probability that the fish taken out is a male fish?


Given: Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing $5$ male fish and $8$ female fish.

To do: To find the probability that the fish taken out is a male fish.

Solution:

As given, Total number of fishes in the tank$=5( male)+8(female)=13$

Let $E$ be the event that the fish taken out is a male fish.

Number of possible outcomes$=13$

Number of outcomes favorable to $E=5$

$\therefore P(E)=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes} = \frac{5}{13}$

Thus, the probability that the fish are taken out is a male fish is $\frac{5}{13}$.

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Updated on: 10-Oct-2022

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