There are 32 students in categories A and B combined. Some students are in both, 24 are in A, and 24 are in B. E is the event that a randomly selected student (among the 32) is in both categories.

College Algebra
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 7ECP: You draw one card at random from a standard deck of 52 playing cards. What is the probability that...
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In Exercises 11-14, calculate the probability P(E).
11. There are 32 students in categories A and B combined.
Some students are in both, 24 are in A, and 24 are in B. E is
the event that a randomly selected student (among the 32) is
in both categories.
12. You roll two dice, one red and one green. Losing combina-
tions are doubles (both dice showing the same number) and
outcomes in which the green die shows an odd number and
the red die shows an even number. The other combinations
are winning ones. E is the event that you roll a winning
combination.
Transcribed Image Text:In Exercises 11-14, calculate the probability P(E). 11. There are 32 students in categories A and B combined. Some students are in both, 24 are in A, and 24 are in B. E is the event that a randomly selected student (among the 32) is in both categories. 12. You roll two dice, one red and one green. Losing combina- tions are doubles (both dice showing the same number) and outcomes in which the green die shows an odd number and the red die shows an even number. The other combinations are winning ones. E is the event that you roll a winning combination.
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