AnswersDHS Geometry B-CR MAT214 DunawayTheoretical and Experimental ProbabilityQuestion 1
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Theoretical and Experimental Probability

Question 1 • DHS Geometry B-CR (MAT214) Dunaway

Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair. Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.What is the theoretical probability that Chandra will be chosen as one of the science fair participants?

Answer
A
25%
B
60%
C
75%
D
80%

Explanation

Four of the five students will be chosen, so only one student will not attend. Each student has the same chance of being the one left out, making Chandra’s chance of being left out 1/5. Therefore, her chance of being chosen is 1 − 1/5 = 4/5 = 80%, choice D.

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