Answer:
The probability is;
0.076
Step-by-step explanation:
The count of numbers from 1 to 100 is 100
Let’s find the number of odd numbers
We can use;
a + (n-1)d = T
a is 1, d is 2 and T is 99
Thus;
1 + 2(n-1) = 99
n-1 = (99-1)/2
n-1 = 59
n = 50
So there are 50 odd numbers
Probability of selecting an odd number is 50/100 = 1/2
If all 4 are odd, we have 1/2^4 = 1/16
Let’s get the multiples of 3
we can use
a + (n-1)d = T
a = 3, n = ? , d = 3 and T = 99
So;
3 + 3(n-1) = 99
n-1 = 34
n = 33
So the probability is 33/100
All 4 are divisible will give 33/100^4
Multiples of 5
a + (n-1)d = T
a = 5, n = ? , d = 5 T = 100
5 + (n-1)5 = 100
5(n-1) = 95
n-1 = 19
n = 20
Probability is 20/100 = 1/5
All
four are multiples of 5
1/5^4 = 1/625
So the probability is;
1/16 + 1/625 + 0.01185921
= 0.0625 + 0.0016 + 0.01185921 = 0.07595921
