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Sagot :
The probability that the two pets selected are of the same species is 0.2426 .
In the question ,
it is given that ,
the number of puppies in the pet store = 6
the number of kittens in the pet store = 9
the number of lizards in the pet store = 4
the number of snakes in the pet store = 5
total animals = 24
the probability of selecting 2 puppies = ⁶C₂/²⁴C₂
the probability of selecting 2 kittens = ⁹C₂/²⁴C₂
the probability of selecting 2 lizards = ⁴C₂/²⁴C₂
the probability of selecting 2 snakes = ⁵C₂/²⁴C₂
So , the required probability is
= ⁶C₂/²⁴C₂ + ⁹C₂/²⁴C₂ + ⁴C₂/²⁴C₂ + ⁵C₂/²⁴C₂
Simplifying further ,
we get ,
= 5/92 + 3/23 + 1/46 + 5/138
= 0.0543 + 0.1304 + 0.0217 + 0.0362
= 0.2426
Therefore , the required probability is 0.2426 .
The given question is incomplete , the complete question is
The pet store has 6 puppies , 9 kittens , 4 lizards and 5 snakes . if you select two pets from the store randomly, what is the probability that they are both the same species ?
Learn more about Probability here
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