Respuesta :
Answer:
a. 0.96 = 96% probability that the number is odd.
b. 0.48 = 48% probability that the sum of the digits is odd.
c. 0.24 = 24% probability that the number is greater than 70.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We are given the prime numbers less than 100, they are:
2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
There are 25 prime numbers less than 100.
a. The number is odd
Of the 25, 24 are odd, only the number 2 is even. So
24/25 = 0.96 = 96%
0.96 = 96% probability that the number is odd.
b. The sum of the digits is odd
The sum of the digits is odd for:
3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them
12/25 = 0.48 = 48%
0.48 = 48% probability that the sum of the digits is odd.
c. The number is greater than 70
71, 73, 79, 83, 89, 97. 6 of them
6/25 = 0.24 = 24%
0.24 = 24% probability that the number is greater than 70.
A) The probability that one of the numbers is odd is; 96%
B) The probability that the sum of the digits is odd is; 48%
C) The probability that the number is greater than 70 is; 25%
We are given the prime numbers;
2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
This is a total of 25 prime numbers.
Thus; N = 25
A) The number of odd numbers are 24.
Thus,probability of selecting an odd number is;
P(odd number) = 24/25
P(odd number) = 0.96 or 96%
B) The numbers that their sum is odd are:
3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89
Kindly note that the single numbers are added to zero to make them odd too.
Thus there are 12 of them that their sum are odd.
P(sum is odd) = 12/25
P(sum is odd) = 0.48 or 48%
C) The numbers that are greater than 70 from the list are 71, 73, 79, 83, 89, 97. This is a total of 6 numbers.
Thus;
P(number is greater than 70) = 6/25
P(number is greater than 70) = 0.25 or 25%
Read more about probability of selection of numbers at; https://brainly.com/question/251701
