Question

Let A represent having soup and let B represent having salad for lunch. Which statement is true? Having soup and salad for lunch are independent event

Upper level probability
ANSWERED
asked 2021-05-13
Let A represent having soup and let B represent having salad for lunch.
Which statement is true?
Having soup and salad for lunch are independent events because \(\displaystyle{P}{\left({A}∣{B}\right)}={P}{\left({A}\right)}{\quad\text{and}\quad}{P}{\left({B}∣{A}\right)}={P}{\left({B}\right)}\).
Having soup and salad for lunch are not independent because \(\displaystyle{P}{\left({A}∣{B}\right)}={P}{\left({A}\right)}{\quad\text{and}\quad}{P}{\left({B}∣{A}\right)}={P}{\left({B}\right)}\).
Having soup and salad are not independent events because \(\displaystyle{P}{\left({A}∣{B}\right)}≠{P}{\left({A}\right)}{\quad\text{and}\quad}{P}{\left({B}∣{A}\right)}≠{P}{\left({B}\right)}\).
Having soup and salad for lunch are independent events because \(\displaystyle{P}{\left({A}∣{B}\right)}≠{P}{\left({A}\right)}{\quad\text{and}\quad}{P}{\left({B}∣{A}\right)}≠{P}{\left({B}\right)}\)

Expert Answers (1)

2021-05-14
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