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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

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 class=

Sagot :

[tex]0.6107[/tex]

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.

[tex]262+382+181+336+190=1351[/tex]

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:

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

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

That is the answer.

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