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. What is the probability that the next fish caught is a drum or a flounder? Enter a fraction or round your answer to four decimal places

Answer 1

0.6275

Step-by-step explanation:

We were given the following informationL

Flounder = 278

Red Drum = 382

Black Drum = 194

Bluefish = 348

Sea Trout = 159

Total = 278 + 382 +194 + 348 + 159 = 1,361

The probability that the next fish caught is a drum or a flounder is given by:

`\begin{gathered} Probability=\frac{Chances\text{ of event}}{Total\text{ possible outcome}} \\ \\ P(Drum)=P(Red.Drum)+P(Black.Drum) \\ P(Drum)=(382)/(1361)+(194)/(1361) \\ P(Drum)=(576)/(1361) \\ \\ P(Flounder)=(278)/(1361) \\ \\ P(Drum\text{ or Flounder})=P(Drum)+P(Flounder) \\ P(Drum\text{ or Flounder})=(576)/(1361)+(278)/(1361) \\ P(Drum\text{ or Flounder})=(854)/(1361) \\ P(Drum\text{ or Flounder})=0.6274797\approx0.6275 \\ P(Drum\text{ or Flounder})=0.6275 \end{gathered}`

Therefore, the probability of the next fish being a Drum or Flounder is: 0.6275