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1) It is known that 75% of students regularly eat a breakfast or a lunch. It...

1) It is known that 75% of students regularly eat a breakfast or a lunch. It is also known that 45% of students regularly eat breakfast, and that 40% of students regularly eat lunch. Suppose a student is selected at random. What is the probability that this student will regularly eat breakfast and will not eat lunch? Select the closest to your answer.

a. 0.45

b. 0.3

c. 0.35

d. 0.05

Math   Statistics-And-Probability   
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Answer #1

We have given,

P[ students regularly eat a breakfast or a lunch]=0.75

P[students regularly eat breakfast]=0.45

P[students regularly eat lunch]=0.40

P[student will regularly eat breakfast and will not eat lunch]=..................?

We can use here addition rule of probability.

Substitute here given values

=0.45-0.1

=0.35

Therefore,the probability that this student will regularly eat breakfast and will not eat lunch is 0.35

Option c) is correct.

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