Question

You pick a card at random. Without putting the first card back, you

Answer 1

First, we need the probability of picking an odd number.

There are 5 cards in total, and 3 odd cards (3, 5, and 7).

That means that the probability that we'll draw an odd card would be $\frac{3}{5}$.

Then, we have 4 cards left, and 2 even cards (4 and 6), meaning that the probability that we draw an even card will be $\frac{2}{4}$ or $\frac{1}{2}$.

To find the probability that these would happen in consecutive draws, we just multiply the probabilities together.

$\frac{3}{5}*\frac{1}{2}=\frac{3}{10}$ or 0.3.

To convert this into a percentage, we multiply the decimal by 100.

$0.3*100=30$.

So the probability of picking an odd number and then picking an even number is 30%.

Hope this helps!