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Probability of an Event

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Question 11
Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fishes and 8 female fishes (see figure). What is the probability that the fish taken out is a male fish?

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Solution

Total number of fish in the tank = 5 + 8 = 13
$∴$ Total number of elementary events = 13

There are 5 male fishes in the tank.
$∴$ Favourable number of elementary events = 5

Hence, P (taking out a male fish)
$= \frac{F a v o u r a b l e n u m b e r o f e l e m e n t a r y e v e n t s}{T o t a l n u m b e r o f e l e m e n t a r y e v e n t s} = \frac{5}{13}$

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Probability of an Event

Standard VIII Mathematics

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