Question

Publishers

Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are
attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category.
P =
C and not J
35
C and J
45
P =
C=Go to college
J and not C
30
What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a
decimal precise to two decimal places.
J= Have a job
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal
precise to two decimal places.

Answer 1

To find the probability of a graduate having a job if they attend college, divide the number of graduates in both categories by the number of graduates attending college. The probability is approximately 1.29. To find the probability of a graduate attending college if they have a job, divide the number of graduates in both categories by the number of graduates with a job. The probability is approximately 0.60.

Step-by-step explanation:

In order to find the probability that a randomly selected graduate has a job if he or she is attending college, we can use the formula:

P(J and C) / P(C)

From the Venn diagram, we know that P(J and C) = 45 and P(C) = 35.

Therefore, the probability is: 45 / 35 = 1.29 (rounded to two decimal places).

To find the probability that a randomly selected graduate attends college if he or she has a job, we can use the formula:

P(J and C) / P(J)

From the Venn diagram, we know that P(J and C) = 45 and P(J) = 75 (since P(J) = P(J and C) + P(J and not C)).

Therefore, the probability is: 45 / 75 = 0.60 (rounded to two decimal places).