Questions: In a survey, 4,140 nannies were placed in a job in a year. Only 35 of the nannies placed were men. Find the probability that a randomly selected nanny who was placed during the year is a male nanny (a "mannie"). The probability is . (Round to four decimal places as needed.)

In a survey, 4,140 nannies were placed in a job in a year. Only 35 of the nannies placed were men. Find the probability that a randomly selected nanny who was placed during the year is a male nanny (a "mannie").

The probability is . (Round to four decimal places as needed.)

Transcript text: In a survey, 4,140 nannies were placed in a job in a year. Only 35 of the nannies placed were men. Find the probability that a randomly selected nanny who was placed during the year is a male nanny (a "mannie"). The probability is $\qquad$ . (Round to four decimal places as needed.)

Solution

Solution Steps

Step 1: Identify the Given Values

We are given:

Total number of nannies placed: $ 4140 $
Number of male nannies placed: $ 35 $

Step 2: Calculate the Probability

The probability $ P $ of selecting a male nanny is given by the ratio of the number of male nannies to the total number of nannies: \[ P = \frac{\text{Number of male nannies}}{\text{Total number of nannies}} = \frac{35}{4140} \]

Step 3: Simplify the Expression

Perform the division to find the probability: \[ P = \frac{35}{4140} \approx 0.008454106280193236 \]

Step 4: Round the Result

Round the probability to four decimal places as required: \[ P \approx 0.0085 \]