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 odd number? Write your answer as a fraction or whole numb

Answer 1

The probability of picking an even number first and then an odd number from a set of cards numbered 2 to 9 is 2/7.

Step-by-step explanation:

The question involves calculating the probability of picking an even number and then an odd number from a shuffled set of single-digit cards numbered 2 to 9.

First, we find the probability of drawing an even number. There are four even numbers (2, 4, 6, and 8), so the probability of drawing an even number first is 4/8 or 1/2, since there are 8 cards in total.

After drawing an even card, there are 7 cards left. Among them, there are four odd numbers (3, 5, 7, and 9). So the probability of drawing an odd number second is 4/7.

Now, to find the total probability of both events happening in sequence (an even number first and then an odd number), we multiply the two probabilities: (1/2) * (4/7) = 4/14 or 2/7 when simplified.