use the table to find the probability

project number of degree recipients in 2010 (thousands )
degree male female
associates 276 330
bachelor's 468 824

the probability that the degree is not a bachelors given that the recipient is a male is ?
round 2 decimal places

1 answer

To find the probability that the degree is not a bachelor's given that the recipient is male, we need to calculate the probability that the recipient is an associate's degree recipient and male, then divide by the total probability that the recipient is male.

The total number of male degree recipients is:
276 (male associates) + 468 (male bachelor's) = 744

The probability that the degree is an associate's degree given that the recipient is a male is:
P(Associate | Male) = 276 / 744 = 0.371

Therefore, the probability that the degree is not a bachelor's given that the recipient is a male is 0.371 (or 37.10% when expressed as a percentage).