Question

The type and number of fish caught in the Charleston Harbor in March was recorded for a month. The results are recorded in the table below. Whatis the probability that the next fish caught is a drum or a flounder? Enter a fraction or round your answer to 4 decimal places, if necessary.Flounder262Number of Fish Caught in MarchBlack DrumBluefish336Red Drum382181Sea Trout190

Answer 1

`0.6107`

1) The first thing we need to do in this question, is to find the sample space, i.e. the total number of outcomes, in this case, fishes.

`262+382+181+336+190=1351`

2) Since no one could pick simultaneously two types of fish, then we can tell that these events are mutually exclusive. So, we can write the following:

`\begin{gathered} P(flounder)=(262)/(1351) \\ \\ P(black\:drum)=(181)/(1351) \\ \\ P(red\:drum)=(382)/(1351) \\ \\ P(drum\:or\:flounder)=(262)/(1351)+(181)/(1351)+(382)/(1351)=(825)/(1351)\approx0.6107 \end{gathered}`

Note that by "drum" we are including black and red drum.

That is the answer.