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What is the probability that a list of five different, single-digit numbers, whose sum is 31, will contain exactly two prime numbers? Express your answer as a common fraction.
 Jun 29, 2021
 #1
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single  digit primes    =   2, 3, 5, 7

 

2, 3   ⇒       31   not possible         

2  5   ⇒       31   not possible         

2, 7   ⇒       31  not possible                              

3, 5   ⇒       (3, 5, 6 ,8 ,9)

3 ,7  ⇒       (3 ,  4 , 7 , 8 , 9)

5 , 7 ⇒        (4, 5 , 6, 7 , 9 )

 

P   = (3/6)   = (1/2)

 

 

cool cool cool

 Jun 29, 2021

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