Answers Mathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26 Expected ValueQuestion 1

1

AssignmentMultiple Choice

Expected Value

Question 1 • Mathematics for College Liberal Arts Sem 1 (1207350) BCPS 2025-26

You toss two number cubes. If a sum of 7 or 11 comes up, you get 7 points, if not you lose 2 points.The probabilities for each of the sums is:P(2) = 1/36 P(3) = 1/18 P(4) = 1/12 P(5) = 1/9 P(6) = 5/36 P(7) = 1/6 P(8) = 5/36 P(9) = 1/9 P(10) = 1/12 P(11) = 1/18 P(12) = 1/36 The probability of a sum of 7 or 11 is:

Answer

A

1/36

B

1/18

C

2 / 9

D

1/36

Explanation

A sum of 7 or 11 can happen in two mutually exclusive ways, so add their probabilities: P(7) + P(11) = 1/6 + 1/18. Converting 1/6 to 3/18 gives 4/18 = 2/9. Therefore, the probability is 2/9, choice C.

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