Question

a farm contains 12 pigs 17 cows and 10 chickens, and 18 goats. you randomly select...

a farm contains 12 pigs 17 cows and 10 chickens, and 18 goats. you randomly select 4 animals from the farm. what id the probablility that you select exaclty one of each kind of animal

Math   Statistics-And-Probability   
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Answer #2

Here, total number of different animals = 12+17+10+18=57

The total number of ways 4 animals can randomly be chosen = 57C4  = 395010

Now,

Number of ways of selecting exactly one of each kind of animal is

= 12C1 * 17C1 * 10C1 * 18C1  (this is the only ways since we have to select only 4 animals randomly)

= 12*17*10*18

= 36720

Hence probability of selecting exactly one of each kind of animal is

     

     

Therefore, required probability is 0.092950 (or approximately 0.093)

answered by: anonymous
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