Question

Letecia’s cousin Tanda lives with 8 rabbits, 4 dogs and two cats. She wants to take...

Letecia’s cousin Tanda lives with 8 rabbits, 4 dogs and two cats. She wants to take them all to the park, but only six animals can get into her car with her. If she randomly picks six animals to accompany her, what is the probability she chooses two of each species?

Math   Statistics-And-Probability   
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Answer #1

to find the probability first we need to find the total number of outcomes and total number of favourable outcomes

So

total number of outcomes are

As in total there are 8+4+2=14 animals and she needs to choose 6 of them.

now the favourable outcomes are

2 out of 8 rabbits are selected, 2 out of 4 dogs are selected and 2 out of 2 cats are selected

So the number of favourable outcomes are

Hence the probability is

P(Favourable outcome)=total number of favourable outcomes/total number of outcomes

Hence the probability is 0.05594406.

Thank you !!!

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