a two digit number is chosen at random . find the probability that it is a prime number
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Total No. of outcomes = 90
No. of favourable outcomes = 23 ( 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 57, 59, 61, 67, 71, 73, 83, 87, 89, 91, 97 )
P( prime number) = 23 / 90
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The probability of selecting a 2-digit prime number is 21/90
Step-by-step explanation:
Total number of 2 digit numbers are (99-10)+1 = 90
The number of prime numbers out of the 90 2-digit numbers are 21, i.e., 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.
Probability of selecting a prime 2-digit number, P = No. of 2-digit prime numbers / Total number of 2-digit numbers
P = 21 / 90
Thus, the probability of selecting a 2-digit prime number is 21/90
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