Question

Andrea labels ten cards with the numbers 1 through 10. She places the cards with prime numbers (2,3,5,7) in one box, and places the rest of the cards in another box. If Andrea draws one random card from the box of prime numbers and then one random card from the other box, how many different pairs of numbers are possible outcomes?

Answer 1

Box with prime numbers = 2, 3, 5, 7

Box with the other numbers = 1, 4,6,8,9, 10

Possible pairs

12 13 15 17 Four pairs

42 43 45 47 Four pairs

62 63 65 67 Four pairs

82 83 85 87 Four pairs

92 9 3 95 97 Four pairs

102 103 105 107 Four pairs

Total numbers of pairs 24 pairs