I can't answer this exam question! Please help me:
Jodie and Karen play a game with a pack of 40 numbered cards.
There are four cards with each number from 0 to 9.
Jodie picks a card and keeps it.
Karen then picks a card.
What is the probability that they both pick a number 5?
I believe the answer is (4/40)*(3/39) = .0077
To help your understanding of the process, here is the reasoning.
There are four 5s in the 40 cards, so the likelihood of picking a 5 is 4/40.
With a five already picked (since it is not replaced), there are only three 5s left out of the remaining 39 cards, giving you a probability of 3/39.
The probability of both (all) events occurring is obtained by multiplying the probabilities of the individual events.
I hope this helps a little more. Thanks for asking.
Thank you.