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 bluefish? Enter a fraction or round your answer to 4 decimal places, if necessary. Table data: Flounder: 283, Red Drum: 384, Black Drum: 175, Bluefish: 335, Sea Trout: 222.

$The type and number of fish caught in the Charleston Harbor in March was recorded for a month. The results are recorded in the table below. What is the probability that the next fish caught is a drum or a bluefish? Enter a fraction or round your answer to 4 decimal places, if necessary. Table data: Flounder: 283, Red Drum: 384, Black Drum: 175, Bluefish: 335, Sea Trout: 222.$

Answer

To find the probability that the next fish caught is a drum or a bluefish, follow these steps: 1. Calculate the total number of fish caught: 283 (Flounder) + 384 (Red Drum) + 175 (Black Drum) + 335 (Bluefish) + 222 (Sea Trout) = 1399 total fish. 2. Identify the number of outcomes that satisfy the condition 'is a drum or a bluefish'. In this case, that includes Red Drum, Black Drum, and Bluefish: 384 + 175 + 335 = 894. 3. Calculate the probability by dividing the number of favorable outcomes by the total outcomes: Probability = 894 / 1399. 4. Converting to decimal form, 894 / 1399 ≈ 0.639027877. Rounding to four decimal places gives 0.6390.