Question

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

pick a second card at random.
What is the probability of picking an odd number and then picking
an even number?
Write your answer as a percentage.

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
`(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
`(2)/(4)` or
`(1)/(2)`.

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

`(3)/(5)*(1)/(2)=(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!