Part1: Finding probability of getting sum as a perfect square.
Maximum sum of both the dice is (6+6) equal to 12.
Up to 12, the perfect squares are: 1, 4 and 9.
Getting a sum of 1 from two dice is not possible. So, we are left with 4 and 9.
To get 4, the combination can be: (2,2) or (1,3) or (3,1). This means, to get the sum as 4, the probability is [3/36].
To get 9, the combination can be: (3,6) or (6,3) or (5,4) or (4,5). This means, to get the sum as 9, the probability is [4/36].
Therefore,the total probability of getting the sum as a perfect square is: [(3/36)+(4/36)]=[7/36].
Part2: Finding the probability of getting sum as an even number.
The possible even numbers can be 2, 4, 6, 8, 10 and 12. But, as 4 is already considered in part1, it should be ignored in this case.
The probability of getting sum as 2 is: [1/36]
The probability of getting sum as 6 is: [5/36]
The probability of getting sum as 8 is: [5/36]
The probability of getting sum as 10 is: [3/36]
By adding all the above, the probability of getting sum as an even number (ignoring 4) is:
[(1/36)+(5/36)+(5/36)+(3/36)]=[14/36].
From part 1 and part 2, we get the total probability as [(7/36)+(14/36)]=[7/12]=0.583333.
There are infinitely many numbers and so the probability of the second event is 0. As a result the overall probability is 0.
Probability is a number that describes how likely it is that an event will occur.
Probability
well the law of large numbers is A therom that describes the result of performing the same experiment a large number of times and its like empirical because its like actually experimenting it or something like that .
You carry out the experiment a large number of times. Count the number of times it was carried out (n). Count the number of times in which the particular outcome occurred (x). Then, the experimental probability for that even is x/n.
It is a perfect square.
There are infinitely many numbers and so the probability of the second event is 0. As a result the overall probability is 0.
No. Perfect squares as the squares of the integers, whereas irrational squares as the squares of irrational numbers, but some irrational numbers squared are whole numbers, eg √2 (an irrational number) squared is a whole number.
A [perfect] square number, by definition, has a factor which is its square root. As a result it CANNOT be a prime!
Real Numbers/Integers except 1 Perfect Squares
Probability is a number that describes how likely it is that an event will occur.
The probability of a result you want is (the total number of results that would satisfy you) divided by (the total number of all possible results).
I am pretty sure you can figure this out on your own. Raise different numbers to the square, until you get a 4-digit result. Similary, calculate the cube of different numbers, until you get a 4-digit number. If you want the SAME number to be both a perfect square and a perfect cube, then it must be a power of 6. In that case, just experiment raising different numbers to the sixth power, until you get a 4-digit number.
There is no single formula of probability. The probability of a simple event in a trial is a measure of all outcomes which result in the event, expressed as a proportion of all possible outcomes.If all the outcomes have the same probability then it is the ratio of the number of "favourable" outcomes to the total outcomes. However, the definition based on numbers fails if they are not equi-probable.
Probability
Same as for other numbers. You sum them together and divide the result by the number of fractions.Same as for other numbers. You sum them together and divide the result by the number of fractions.Same as for other numbers. You sum them together and divide the result by the number of fractions.Same as for other numbers. You sum them together and divide the result by the number of fractions.
well the law of large numbers is A therom that describes the result of performing the same experiment a large number of times and its like empirical because its like actually experimenting it or something like that .