Question

In: Statistics and Probability

13. Two different colored dice are rolled simultaneously. What is the probability of getting a sum...

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.

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