Simulation | Birthday | permutation | combination | Statistics | Probability | The Statisticians
A student wants to simulate 23 birthdays, but she does not have a calculator or software program available, so she makes up 23 numbers between 1 and 365. Is it okay to conduct the simulation this way? Why or why not?
A.
No. Simulations must be performed with either a calculator or a statistical program.
B.
Yes. People are capable of randomly making up numbers between two values.
C.
Yes. People are better at picking birth dates than computers, since they can base the numbers on the birth dates of people they know.
D.
No. People generally favor some numbers over others so that they don't select numbers with a process that is truly random.
In horse racing, a trifecta is a bet that the first three finishers in a race are selected, and they are selected in the correct order. Does a trifecta involve combinations or permutations? Explain.
Choose the correct answer below.
A.
Because the order of the first three finishers does not make a difference, the trifecta involves permutations.
B.
Because the order of the first three finishers does make a difference, the trifecta involves combinations.
C.
Because the order of the first three finishers does not make a difference, the trifecta involves combinations.
D.
Because the order of the first three finishers does make a difference, the trifecta involves permutations.
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