SOLUTION: 8. a football coach has five guards and seven tackles trying out for the squad.as a final cut, five of these players will be cut at random. find the probablity that the group of p

Question 136858This question is from textbook fundamentals of mathematics
: 8. a football coach has five guards and seven tackles trying out for the squad.as a final cut, five of these players will be cut at random. find the probablity that the group of players cut will
a. consist of guards only
b. consist of tackles only
c. consist of three guards and two tackles
d.consist of four tackles and one guard
e. consist of three tackles and two guards
f. consist of four guards and one tackle
10. a case of soda pop contains six bottles of root beer, six bottles of orange soda, seven bottles of cola, and five bottles of gingerale. If you select three bottles at random find the probability that
a. all three bottles are cola
b. all three bottles are rootbeer
c. two bottles are gingerale and one bottle is cola
d. one bottle is orange soda, and two bottles are rootbeer
e. one bottle is cola, one bottle is orange soda, and one bottle is gingerale
f. one bottle is cola, one bottle is orange soda, and one bottle is rootbeer This question is from textbook fundamentals of mathematics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a football coach has five guards and seven tackles trying out for the squad.as a final cut, five of these players will be cut at random. find the probablity that the group of players cut will
a. consist of guards DISABLED_event_only= 5C5/12C5 = 1/792
b. consist of tackles DISABLED_event_only= 7C5/12C5 = 21/792
c. consist of three guards and two tackles= [5C3*7C2]/792 = 210/792
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I'm going to assume you see the pattern and can do d,e, and f yourself.
If not, let me know.
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d.consist of four tackles and one guard
e. consist of three tackles and two guards
f. consist of four guards and one tackle
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10. a case of soda pop contains six bottles of root beer, six bottles of orange soda, seven bottles of cola, and five bottles of gingerale. If you select three bottles at random find the probability that
a. all three bottles are cola= 7C3/24C3 = 35/2024
b. all three bottles are rootbeer= 6C3/2024 = 20/2024
c. two bottles are gingerale and one bottle is cola=[5C2*7C1]/2024 = 70/2024
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Comment: Assume you see the patterns.
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d. one bottle is orange soda, and two bottles are rootbeer
e. one bottle is cola, one bottle is orange soda, and one bottle is gingerale
f. one bottle is cola, one bottle is orange soda, and one bottle is rootbeer
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Cheers,
Stan H.

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