Re: 2012 HSC MX2 Marathon
Alright! Time for a (possibly ridiculous) Probability question.
Jack and Michael are playing a game of blackjack, using 8 standard decks.
i. How many two card selections are there:
a) in total?
b) that will have blackjack?
ii. What is the probability of:
a) only one player being dealt blackjack?
b) both players being dealt blackjack?
iii. What is the probability of being dealt blackjack, where one card is a King?
iv. If Both Jack and Michael are dealt blackjack, what is the probability (out of all possible 2 card selections for both players, [blackjack or not] dealt to both players) that Jack will beat Michael (where 10 < Jack < Queen < King and let's say Spades = 4 points > Clubs = 3 > Diamonds = 2 > Hearts = 1, and the suit of both cards count, and most points wins)
For those who have never played Blackjack, (My teacher said he once had a Yr 12 class where barely anyone had even seen a deck of cards lol) Having Blackjack is when the sum of both card's numbers is 21 [Ace = 1 or 11, 10 = Jack = Queen = King]
Note: I have no idea how to do this question, I just made it up on the spot. Additionally, probability is not my forte, so don't rely on me to come up with the answers any time soon lol.
For part i. , I just mean a single hand, but for part iv. , I mean for both hands at the same time ( it is a bit confusing lol).