Question

In a running club there are 60 females and 70 males.
If a female is chosen at random, the probability she has blue eyes is 0.41
If a male is chosen at random, the probability he has blue eyes is 0.7
One person is chosen at random.
What is the probability that the person has blue eyes?
Give your answer as a decimal correct to 2 decimal places.

Answer 1

The probability that one person chosen has blue eyes is 0.57.

The given parameters:

• Number of females, = 60
• Number of males, = 70
• Probability of choosing a female with blue eyes, = 0.41
• Probability of choosing a male with blue eyes, = 0.7

The total number of female and male with blue eyes is calculated as;

Total female with blue eyes = 0.41 x 60 = 24.6

Total male with blue eyes = 0.7 x 70 = 49

Total blue eyes = 24.6 + 49 = 73.6

The probability that one person chosen has blue eyes is calculated as follows;

$P = \frac{73.6}{60 + 70}\\\\P = \frac{73.6}{130} \\\\P = 0.566\\\\P \approx 0.57$

Thus, the probability that one person chosen has blue eyes is 0.57.

Learn more about probability of independent events here: https://brainly.com/question/11455301