Question

There are 50 students in a classroom at UT-Almost. Thirty of these students started as freshmen at UTA; the rest are transfers. The transfer students are split evenly between business majors and liberal arts majors. the total number of business majors is 25. (use for both questions)

#13 – If we randomly selected a single student, what is the probability he/she will be either a liberal art major or a transfer student?

ANSWER:

#16 – Suppose we randomly selected two students using this process: We take 40 envelopes and insert a slip of paper (either red or white) into each one. Each envelope is then sealed and then placed in a big box from which students draw one envelope each. The student who draw envelopes with red slips inside them are selected. Two of the envelopes contain red slips; the rest contain white. What is the probability that both students selected will be transfers?

ANSWER:

Answer 1

(13)

From the given data, the following Table is calculated:

	Freshmen	Transfers	Total
Business major	15	10	25
Liberal Arts major	15	10	25
Total	30	20	50

P(Liberal Arts major OR Transfers) = P(Liberal Arts major) + P ( Transfers) - P(Liberal Arts major AND Transfers)

= 25/50 + 20/50 - 10/50

= 35/50

= 0.7

So,

Answer is:

0.7

(16)

First student: Red Slip

Red slip = 2

While Slip = 48

Total Slips = 50

So,

P(First student: Red Slip ) = 2/50 = 0.04

Second student: Red Slip

Red slip = 1

While Slip = 48

Total Slips = 49

So,

P(Second student: Red Slip ) = 1/49 = 0.0204

So,

P(Both students selected) = P(Both students: Red slip) = 0.04 X 0.0204 = 0.0008163

So,

both students selected will be transfers = 0.0008163 X 20/50

                                                          = 0.0003265

So,

Answer is:

0.0003265