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Both males and females of a fish species show variation in colour. A population of this species consists of 40% blue females, 20% red females, 20% blue males and 20% red males. A researcher catches one fish at random from this population. Given that a male fish is caught, the probability that it is blue is _______. (Use decimal notation, not fractions or percentage)
Enter only the numerical value in the space provided below.
    Correct answer is between '0.49,0.51'. Can you explain this answer?
    Most Upvoted Answer
    Both males and females of a fish species show variation in colour. A p...
    Given data:
    - 40% of the population consists of blue females
    - 20% of the population consists of red females
    - 20% of the population consists of blue males
    - 20% of the population consists of red males

    Probability of catching a male fish:
    Since the researcher catches one fish at random from the population, the probability of catching a male fish can be calculated by adding the probabilities of catching a blue male and a red male:
    - Probability of catching a blue male = 20%
    - Probability of catching a red male = 20%

    Therefore, the probability of catching a male fish is 20% + 20% = 40%.

    Probability of catching a blue male:
    To calculate the probability of catching a blue male, we need to consider the proportion of blue males in the population relative to the total number of males.

    Calculating the total number of males:
    Since the population consists of 40% blue females, 20% red females, 20% blue males, and 20% red males, we can assume the population size to be 100.

    - Number of blue females = 40% of 100 = 40
    - Number of red females = 20% of 100 = 20
    - Number of blue males = 20% of 100 = 20
    - Number of red males = 20% of 100 = 20

    Therefore, the total number of males in the population is 20 + 20 = 40.

    Calculating the probability of catching a blue male:
    Since the researcher catches one fish at random from the population, the probability of catching a blue male can be calculated by dividing the number of blue males by the total number of males:

    - Probability of catching a blue male = Number of blue males / Total number of males = 20 / 40 = 0.5

    Therefore, the probability of catching a blue male is 0.5 or 50%.

    Final answer:
    The probability of catching a male fish is 40% and the probability of catching a blue male is 50%. Therefore, the probability that a male fish caught is blue is 0.5 or 50%.
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    Both males and females of a fish species show variation in colour. A population of this speciesconsists of 40% blue females, 20% red females, 20% blue males and 20% red males. A researchercatches one fish at random from this population. Given that a male fish is caught, the probabilitythat it is blue is _______. (Use decimal notation, not fractions or percentage)Enter only the numerical value in the space provided below.Correct answer is between '0.49,0.51'. Can you explain this answer?
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    Both males and females of a fish species show variation in colour. A population of this speciesconsists of 40% blue females, 20% red females, 20% blue males and 20% red males. A researchercatches one fish at random from this population. Given that a male fish is caught, the probabilitythat it is blue is _______. (Use decimal notation, not fractions or percentage)Enter only the numerical value in the space provided below.Correct answer is between '0.49,0.51'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Both males and females of a fish species show variation in colour. A population of this speciesconsists of 40% blue females, 20% red females, 20% blue males and 20% red males. A researchercatches one fish at random from this population. Given that a male fish is caught, the probabilitythat it is blue is _______. (Use decimal notation, not fractions or percentage)Enter only the numerical value in the space provided below.Correct answer is between '0.49,0.51'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Both males and females of a fish species show variation in colour. A population of this speciesconsists of 40% blue females, 20% red females, 20% blue males and 20% red males. A researchercatches one fish at random from this population. Given that a male fish is caught, the probabilitythat it is blue is _______. (Use decimal notation, not fractions or percentage)Enter only the numerical value in the space provided below.Correct answer is between '0.49,0.51'. Can you explain this answer?.
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