Apond is freshly stocked with 6 brown trout and 18 lake trout. the first fisherman in the area catches and releases a trout. he catches another trout a while later. what is the probability that the fisherman caught lake trout each time? a.1/16 b.1/8 c.5/92 d.5/96

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.

Number of brown trout = 6

Number of lake trout = 18

Total number of trouts =

Probability to catch a lake trout first time =

As the fisherman let the trout go, so probability for the second time is =

Hence, the probability becomes=

=

The probability to find the brown trout is

as ,

=