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 [tex]\frac{3}{5}[/tex].
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 [tex]\frac{2}{4}[/tex] or [tex]\frac{1}{2}[/tex].
To find the probability that these would happen in consecutive draws, we just multiply the probabilities together.
[tex]\frac{3}{5}*\frac{1}{2}=\frac{3}{10}[/tex] or 0.3.
To convert this into a percentage, we multiply the decimal by 100.
[tex]0.3*100=30[/tex].
So the probability of picking an odd number and then picking an even number is 30%.
Hope this helps!
