All freshmen students must take Intro to Business and Business Communications in their first semester. 45% of the freshmen students get assigned to Prof. Abernathy's Intro to Business Class, and 50% of students get assigned to Prof. Bertrand's BComm class. (You can presume that being assigned to one class is independent of your being assigned to the other.)
What is the probability that someone has Abernathy for Intro, but not Bertrand for BComm
Question 2
There's a glitch in ChatRoulette, and it matches you with a completely random person, despite your request to be matched with someone of a particular gender. Suppose that 80% of ChatRoulette participants are men (20% are women); 70% of participants are bat-shit crazy (30% are sane); and the proportion of crazies is the same regardless of gender.
What is the probability that your next match is a sane man?
Freshmen are sometimes assigned to first-year sections at random. Suppose that the probability that your professor is a native English speaker is 50%, and the probability that they are a hard grader is 40% (so 60% are easy graders). Suppose, further, that grading tendencies are completely independent of native language.
What is the probability that the assigned professor is a easy grading non-native speaker?
Freshmen are sometimes assigned to first-year sections at random. Suppose that the probability that your professor is a native English speaker is 60%, and the probability that they are a hard grader is 30% (so 70% are easy graders). Suppose, further, that grading tendencies are completely independent of native language.
What is the probability that the assigned professor is a hard grading native speaker?
Suppose that the probability that there is another pandemic in the next year is 10%. And suppose that the probability that there is a war with China is 8%. Finally, suppose that the probability of a pandemic doesn't depend on whether we're at war, and vice versa.
What is the probability that we have a pandemic, but not a war?
Question 6
There's a glitch in ChatRoulette, and it matches you with a completely random person, despite your request to be matched with someone of a particular gender. Suppose that 70% of ChatRoulette participants are men (30% are women); 80% of participants are bat-shit crazy (20% are sane); and the proportion of crazies is the same regardless of gender.
What is the probability that your next match is a sane man?
All freshmen students must take Intro to Business and Business Communications in their first semester. 60% of the freshmen students get assigned to Prof. Abernathy's Intro to Business Class, and 30% of students get assigned to Prof. Bertrand's BComm class. (You can presume that being assigned to one class is independent of your being assigned to the other.)
What is the probability that someone does not have Abernathy for Intro, but has Bertrand for BComm?
The probability that your classmate likes ice cream is 100%. And the probabability that they like Norwegian Death Metal music is 5%. (It is safe to assume that liking ice cream has nothing to do with music.)
What is the probability that your classmate likes ice cream, but dislikes Norwegian Death Metal music?
The probability that your classmate likes ice cream is 70%. And the probabability that they like Norwegian Death Metal music is 10%. (It is safe to assume that liking ice cream has nothing to do with music.)
What is the probability that your classmate doesn't like ice cream, but likes Norwegian Death Metal music?
Question 10
Suppose that the probability that there is another pandemic in the next year is 40%. And suppose that the probability that there is a war with China is 1%. Finally, suppose that the probability of a pandemic doesn't depend on whether we're at war, and vice versa.
What is the probability that we have a pandemic and a war?
PLEASE ROUND TO THREE DECIMALS.
There's a glitch in ChatRoulette, and it matches you with a completely random person, despite your request to be matched with someone of a particular gender. Suppose that 70% of ChatRoulette participants are men (30% are women); 80% of participants are bat-shit crazy (20% are sane); and the proportion of crazies is the same regardless of gender.
What is the probability that your next match is a sane woman?
