A hand of five cards is dealt from an ordinary pack of 52 cards…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A hand of five cards is dealt from an ordinary pack of cards. The order of the cards in the hand does not matter. Find the number of different hands. Find the number of hands with exactly two aces, and the number of hands with no ace. Then find the probability that a hand has exactly two aces, as a decimal to four places.
Need a reminder? The key ideaShow
Count the favourable and the total outcomes in the same style. counts selections and arrangements. A group of objects that must be together is glued into a block and then multiplied by the arrangements inside the block. A round table of people has seatings.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. All hands. .
Step 2. Exactly two aces. .
Step 3. No ace. All five cards come from the non-aces: .
Step 4. The probability. .
Answer: , , and .
Discussion (0)
Log in to join the discussion.
Loading…