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.
