Respuesta :
Number of brown trout = 6
Number of lake trout = 18
Total number of trouts = [tex]6+18=24[/tex]
Probability to catch a lake trout first time = [tex]\frac{18}{24}[/tex]
As the fisherman let the trout go, so probability for the second time is =
[tex]\frac{18}{24}[/tex]
Hence, the probability becomes=
[tex]\frac{18}{24}\times\frac{18}{24}=\frac{324}{576}[/tex]
= [tex]\frac{9}{16}[/tex]
The probability to find the brown trout is [tex]\frac{1}{16}[/tex]
as , [tex]\frac{6}{24}\times\frac{6}{24}=\frac{36}{576}[/tex]
= [tex]\frac{6}{96}=\frac{1}{16}[/tex]
Answer:
9/16
Not given in the options.
Step-by-step explanation:
Probability is the number of possible outcome expressed as a fraction of the total outcome.
Number of brown trout = 6
Number of lake trout = 18
Total number of trout = 18 + 6 = 24
Probability of picking a brown trout = 6/24
Probability of picking a lake trout = 18/24
The probability of picking a lake trout twice (with replacement)
= 18/24 × 18/24
= 9/16
Not given in the options.
