Questions: In a given year, 1,806,173 males and 1,729,682 females were born in a certain country. If a child is selected randomly from this group, what is the probability that it is female? The probability is (Round to the nearest hundredth as needed.)

In a given year, 1,806,173 males and 1,729,682 females were born in a certain country. If a child is selected randomly from this group, what is the probability that it is female? The probability is (Round to the nearest hundredth as needed.)
Transcript text: Points: 0 of 1 Save In a given year, $1,806,173$ males and 1,729,682 females were born in a certain country. If a child is selected randomly from this group, what is the probability that it is female? The probability is $\square$ (Round to the nearest hundredth as needed.)
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Solution

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Solution Steps

Step 1: Determine the total number of births

Calculate the total number of births by adding the number of male and female births: \[ \text{Total births} = 1,806,173 \, (\text{males}) + 1,729,682 \, (\text{females}) = 3,535,855 \]

Step 2: Calculate the probability of selecting a female

The probability \( P \) of selecting a female is the number of female births divided by the total number of births: \[ P(\text{Female}) = \frac{1,729,682}{3,535,855} \]

Step 3: Simplify and round the probability

Simplify the fraction and round the result to the nearest hundredth: \[ P(\text{Female}) \approx 0.49 \]

Final Answer

\(\boxed{0.49}\)

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