The probability of a randomly selected employee of a company being male is 60%. The probability of the employee being less than 30 years is 70%. If the probability of the employee being less than 30 years old given that the employee is a male is 40%, what is the probability that th employee is a male, given that the employee is less than 30 years old?

34%

Step-by-step explanation:

Conditional probability is:

P(A given B) = P(A and B) / P(B)

P(<30 given male) = P(<30 and male) / P(male)

0.40 = P(<30 and male) / 0.60

P(<30 and male) = 0.24

P(male given <30) = P(male and <30) / P(<30)

P(male given <30) = 0.24 / 0.70

P(male given <30) ≈ 0.34

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.