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18 votes
18 votes
In a cage there are 10 rabbits between males and females. 4 of them escape. What is the probability that 3 are female and only one is a male? There are originally 6 females and 4 males.

Please give answer in fraction and not percentage!

User Alexander Gorelik
by
2.3k points

1 Answer

21 votes
21 votes

Answer:


(8)/(21)

Explanation:

let S be the sample space for this experiment.

card(S) = 10C4 = 210

Let E be the event “having 3 female and only one male”

card(E) = 6C3 × 4C1 = 80

therefore

p(having 3 female and only one male escaped) is 80/210


(80)/(210) =(8)/(21)

User Ben Alex
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2.5k points