UNIV 104 MATH EXAM PREP QUESTIONS
AND ANSWERS FULL SOLUTION
●● Which of the following is impossible for the probability of an event?
Answer: 1 1/2 (one and a half)
●● If an event has 3/5 chance of happening, what is the odds against the
event?
Answer: 2:3
Won't happen two times but will happen 3 times
●● Conditional Probability
Answer: We want the probability of an event A, given the existence of
another event B
●● How do you solve conditional probability
Answer: instead of working with original sample space, we modify it to
an adjusted sample space, one that is consistent with event B
●● A U B
Answer: A or B
, ●● A (upside down U)
Answer: A and B
●● Independent events
Answer: P(A) x P(B) = P(AB)
2 events, A and B, are independent if the probability of A and B equals
P(a) x P(b)
●● When are two events not independent of each other
Answer: If they are all the same
Ex: P(a) = 1/2, P(b) = 1/2, P(ab) = 1/2
●● Complement of the event
Answer: Can be denoted as A^C
Ex: roll a dice and the event a is 5, so A complement is you roll all the
other numbers except 5
●● Don't Pass Bet
AND ANSWERS FULL SOLUTION
●● Which of the following is impossible for the probability of an event?
Answer: 1 1/2 (one and a half)
●● If an event has 3/5 chance of happening, what is the odds against the
event?
Answer: 2:3
Won't happen two times but will happen 3 times
●● Conditional Probability
Answer: We want the probability of an event A, given the existence of
another event B
●● How do you solve conditional probability
Answer: instead of working with original sample space, we modify it to
an adjusted sample space, one that is consistent with event B
●● A U B
Answer: A or B
, ●● A (upside down U)
Answer: A and B
●● Independent events
Answer: P(A) x P(B) = P(AB)
2 events, A and B, are independent if the probability of A and B equals
P(a) x P(b)
●● When are two events not independent of each other
Answer: If they are all the same
Ex: P(a) = 1/2, P(b) = 1/2, P(ab) = 1/2
●● Complement of the event
Answer: Can be denoted as A^C
Ex: roll a dice and the event a is 5, so A complement is you roll all the
other numbers except 5
●● Don't Pass Bet
