Question

you pick a card at random. without putting the first card back, you pick a second card at random.
2 3 4 5
6 7 8 9
what is the probability of picking an even number and then picking an even number?
write your answer as a fraction or whole number.

Explanation:

Step1: Count total and even cards

Total cards: \( 8 \) (2,3,4,5,6,7,8,9). Even cards: 2,4,6,8 → \( 4 \) cards. Probability first even: \( \frac{4}{8}=\frac{1}{2} \).

Step2: Probability second even (no replacement)

After first even, total cards: \( 7 \), even cards: \( 3 \). Probability second even: \( \frac{3}{7} \).

Step3: Multiply probabilities

Combined probability: \( \frac{1}{2} \times \frac{3}{7} = \frac{3}{14} \).

Answer:

\(\frac{3}{14}\)