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In a game, students draw a card, replace it, and then draw again. What is the probability of drawing a prime number then a composite number

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Answer:

16 / 81

Step-by-step explanation:

Between digits 0 ,1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9

Prob (prime number) = Prime numbers / Total numbers ; Prime numbers = 1,3,5,7. So, Prob = 4 / 9

Prob (composite number) = Composite numbers / Total numbers ; Composite numbers = 2, 4, 6 , 8.  So, Prob = 4 / 9

Prob (Prime & Composite) = 4 / 9 x 4 / 9 = 16 / 81

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