There are slips of paper that are numbered from 1 to 15 in a hat. What is the theoretical probability that a slip of paper that
2 answers:
Answer:
the theoretical probability that a slip of paper that is chosen will be an even number is 0.466
Step-by-step explanation:
if we are going to choose a slip of paper with an specific condition, the theoretical probability could be calculated as a division between the total number of posibles choices and the number of choices that satisfy an specific condition.
In this case, there 15 posibles choices because we have 15 numbered slips of papers. from these 15 slips, 7 are numbered with an even number. This even numbers are: 2, 4, 6, 8, 10, 12 and 14.
Finally the theoretical probability is:
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Answer with Step-by-step explanation:
Let Z be a set of integers
We have to prove that is odd for all value of x
Z.
There are two cases
1.When x is an odd integer number
2.when x is even integer number
1.When x is an odd integer number
When x is positive odd integer
Then is positive odd number (because square of odd positive number is always positive an odd number )
5x is also odd number
-5x -1 = -even number
Suppose x=3
Then -15-1=-16
Odd number - even number=Odd number
Hence , is an odd number .
When x is negative odd number
Then x square is positive odd number and 5x is negative odd term term
Therefore,odd number + odd number -1=Even number -1=Odd number
Hence is an odd number.
2.When x is an even number
When x is positive even number
x square is positive even number and 5x is positive even number
Even number -Even number -1 =Even number -odd number =Odd number
Suppose x=4
=16-20-1=-5=Odd number
When x is negative even number
Then x square is positive even number and 5x is negative even number
=Even number +Even number -1=Even number -1=Odd number
Hence, for all elements of Zis odd.