the florida lottery is made up of the number 1-49. my mother observed that the winning numbers many times are prim numbers.
a. list the prime numbers from 1-49
b. what is the probability of a prime number being picked randomly from the numbers 1-49?
c. is the probability of picking a prime number greater than picking a number that is not prime?
look to previous for a
probability you can work out as
no. of prime / total no. of numbers
then x 100 for a percentages or leave as decimal
I searched Google under the key words "prime numbers" to get this:
http://wiki.answers.com/Q/What_are_all_the_prime_number_1_to_100
a. List the number of primes within that range.
b. Primes/49
c. Primes/49 - non-primes/49 = ?
In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.
I hope this helps.
a. To list the prime numbers from 1-49, we need to identify the numbers between 1 and 49 that are only divisible by 1 and themselves. Here are the prime numbers in the range 1-49:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.
b. To calculate the probability of a prime number being picked randomly from the numbers 1-49, we need to determine the total number of prime numbers in the range and divide it by the total number of possible numbers in the range.
The total number of prime numbers from 1-49 is 15 (as listed in part a).
The total number of possible numbers from 1-49 is 49.
So, the probability of picking a prime number randomly from 1-49 is 15/49, which can be simplified to approximately 0.3061, or 30.61%.
c. To compare the probability of picking a prime number to picking a number that is not prime, we need to calculate the probability of picking a non-prime number.
The total number of non-prime numbers from 1-49 can be calculated by subtracting the number of prime numbers (15) from the total number of possible numbers (49):
49 - 15 = 34.
Therefore, the probability of picking a non-prime number randomly from 1-49 is 34/49, which can be simplified to approximately 0.6939, or 69.39%.
Since the probability of picking a prime number (30.61%) is lower than the probability of picking a non-prime number (69.39%), the probability of picking a number that is not prime is greater than picking a prime number.