Question

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

Answer 1

16 / 81

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