Question

You pick one of 4 cards at random. Without putting the first card back, you pick a second card at random. Each card has a number on it: 6, 7, 8, and 9.

What is the probability of picking a 7 and then picking an odd number?

Write your answer as a fraction or whole number.

Answer 1

There is a 1/4 chance the first card is 7. Given that, 1 of the remaining 3 cards (the 9) is odd, so the chance the second is odd is 1/3. Multiply: (1/4)(1/3) = 1/12.