Question

A number of five rabbits are randomly selected for a behavioral test out of a group of 10 rabbits. If 60% of rabbits are male, what is the probability that it will take at least 4 selections to find a male?

2.25%


3.33%


5.66%


8.50%

Answer 1

Probability that it will take at least 4 selections to find a male P = 2.25 %

Explanation:

Total no. of rabbits = 10

No. of male rabbits = 6

No. of female rabbits = 4

Probability that it will take at least 4 selections to find a male

`P = (5) ((6)/(10) ) ((5)/(9) ) ((4)/(8) ) ((3)/(7) ) ((4)/(6) ) + ((6)/(10) ) ((5)/(9) ) ((4)/(8) ) ((3)/(7) ) ((4)/(6) )`

`P = (11)/(42)`

P = 0.225

P = 2.25 %

Therefore probability that it will take at least 4 selections to find a male

P = 2.25 %