Lottery tickets bear numbers from 10 to 99. A ticket selected at random will bear a prime number. what is the probability of this event.
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Lottery tickets bear numbers from 10 to 99. A ticket selected at random will bear a prime number. what is the probability of this event.
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Given:
Numbers between 10 to 100
To Find:
Probability that a given number is a prime number
Solution:-
First, we should find out how many prime numbers are there between 10 to 100:-
11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 37, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
So, there are 21 prime numbers between 10 to 100.
Probability of finding a prime number = Number of prime numbers / Total of the given numbers
= 21 / 91 = 0.23
The probability of finding a prime number between 10 to 100 is 0.23