All students in a high school were surveyed about two sports. The results are shown in the graph. Frequency 600 400 200 0 190 Sports Survey 565 340 Basketball Football Both 100 Neither Like Basketball or Football a) How many students were surveyed? b) What is the probability that a student (chosen at random) likes only basketball? Express your answer as a decimal, rounded to 2 decimal places. c) What is the probability that a student (chosen at random) likes both basketball and football? Express your answer as a percentage. d) What is the probability that a student (chosen at random) likes neither basketball nor football? Express your answer as a fraction in lowest terms.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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All students in a high school were surveyed about two sports. The results are shown
in the graph.
Frequency
600
400
200
0
190
Sports Survey
565
Basketball
340
Football
Like Basketball or Football
Both
100
Neither
a) How many students were surveyed?
b) What is the probability that a student (chosen at random) likes only basketball?
Express your answer as a decimal, rounded to 2 decimal places.
c) What is the probability that a student (chosen at random) likes both basketball and
football? Express your answer as a percentage.
d) What is the probability that a student (chosen at random) likes neither basketball
nor football? Express your answer as a fraction in lowest terms.
Transcribed Image Text:All students in a high school were surveyed about two sports. The results are shown in the graph. Frequency 600 400 200 0 190 Sports Survey 565 Basketball 340 Football Like Basketball or Football Both 100 Neither a) How many students were surveyed? b) What is the probability that a student (chosen at random) likes only basketball? Express your answer as a decimal, rounded to 2 decimal places. c) What is the probability that a student (chosen at random) likes both basketball and football? Express your answer as a percentage. d) What is the probability that a student (chosen at random) likes neither basketball nor football? Express your answer as a fraction in lowest terms.
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