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Let p be a prime number between 40 and 60. What is the probability that \(p + 2\) is also a prime number? Express your answer as a common fraction.

 Jul 7, 2022
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Let p be a prime number between 40 and 60. What is the probability that p+2 is also a prime number? Express your answer as a common fraction.  

 

Primes between                            

40 and 60                p + 2             Is p+2 prime  

 

       41                       43                     Yes  

       43                       45                     No  

       47                       49                     No  

       53                       55                     No  

       59                       61                     Yes  

 

Five primes p, two of p+2 are also prime        The fraction is 2/5.  

 Jul 7, 2022

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