To calculate the probability of selecting a prime number from a given range, divide the count of prime numbers in that range by the total count of numbers in the range. For numbers between 20 and 30 inclusive (20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30), there are 11 total numbers and 2 prime numbers (23 and 29), so the probability is 2/11.
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So let's solve this problem on probability which is a number is selected between 20 and 30 both number inclusive. Find the probability that the number is a prime number. All right. So we are given numbers from 20 and 30. So let's start 20 21 22 23 24 25 26 27 28 29 30. Now these are the numbers we are given.
Now what how many numbers we have? We have 1 2 3 4 5 6 7 8 9 10 11. So the total number of everything here is 11.
Okay? So moving on we are asked to find the probability of picking a prime number. How many prime numbers do we have here?
23 is a prime number.
29 is a prime number.
I think these are the two prime numbers we have. So the prime numbers that we have are 23 and 29.
Okay?
And we have two prime numbers which is equal to two.
So now we have to find the probability of picking a prime number.
So to do that we know that probability is the number of outcome over the total number of outcome. Now this is the number of outcome here.
So the probability of picking a prime is equal to number of outcome which is two over the total number of outcome which is 11. So this is the probability of picking a prime number two over 11.
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