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%

Respuesta :

Answer:

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

Step-by-step 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

[tex]P = (5) (\frac{6}{10} ) (\frac{5}{9} ) (\frac{4}{8} ) (\frac{3}{7} ) (\frac{4}{6} ) + (\frac{6}{10} ) (\frac{5}{9} ) (\frac{4}{8} ) (\frac{3}{7} ) (\frac{4}{6} )[/tex]

[tex]P = \frac{11}{42}[/tex]

P = 0.225

P = 2.25 %

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

P = 2.25 %