In: Statistics and Probability
13. Two different colored dice are rolled simultaneously. What is the probability of getting a sum of 2?
21. What is the probability that if 15 letters are
typed, no letters are repeated?
Round your answer to 6 decimal places as needed.
22. There are 10 female board members and 20 male board
members.
How many ways are there to make a committee of 19 board
members?
How many ways are there to make a committee of 19 board
members if exactly 3 must be female?
23. There are 16 female board members and 15 male board
members. If a committee of 8 members is randomly chosen, what is
the probability that the committee has exactly 6
females?
Round your answer to 6 decimal places as needed.
28.
Given that
U={1,2,3,...,18,19,20}U={1,2,3,...,18,19,20}
A={1,2,6,8,10,11,12,15}A={1,2,6,8,10,11,12,15}
B={1,6,7,8,10,14,18}B={1,6,7,8,10,14,18}
C={1,3,5,8,9,10,11,12,13,14,17,18,19,20}C={1,3,5,8,9,10,11,12,13,14,17,18,19,20}
LIST the elements in each of the following sets:
B∪(A∩C)=B∪(A∩C)= Hint
B∪Ac=B∪Ac=
30. A card is drawn randomly from a standard 52-card
deck. Find the following:
Write all answers as simplified fractions.
Probability the card drawn is a face card.
Probability the card drawn is not a face
card.
Odds in favor of drawing a face card.
Odds against drawing a face card.