poker dice probability one pair

Who can solve these problems about probability?

1.A pair of dice is tossed. Find the probability of getting a) a total of 8? B) at most a total of 5?
2.Two cards are drawn in succession from a deck without replacement. What is the probability that both cards are greater than 2 and less than 8?
3.If each coded item in catalog begins with 5 different letters and 3 distinct nonzero digits, find the probability of randomly selection one of these coded items with the first letter a vowel and last digit even?
4.In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the probability that the student took history but not mathematics?
5.In a poker hand consisting of cards, find he probability of holding 3 aces?
6.In a game of poker where a player is dealt 5 cards from a deck of 53 playing cards (52 cards + 1 joker), what is the probability of getting a full house?

E= R/N

E is your target event.
R is the total number of ways that event can be achieved
N is the total number of UNIQUE events that can be achieved

1a) E=8 or 2+6,3+5,4+4 R=3 N=21 NOT 36

21 because: 1+1, 1+2, 1+3, 1+4, 1+5, 1+6 = 6 UNIQUE events
2+2, 2+3, 2+4, 2+5, 2+6 = 5 UNIQUE events
3+3, 3+4, 3+5, 3+6 = 4 UNIQUE events
4+4, 4+5, 4+6 = 3 UNIQUE events
5+5, 5+6 = 2 UNIQUE events
6+6 = 1 UNIQUE event

6 + 5 + 4 + 3 + 2 + 1 = 21 TOTAL Unique events possible

Probability is 1/7 or 0.142857 or 14.2857% for rolling an eight.

1b) By saying "at most a total of 5" the assumption I am making is that totals of 2, 3, 4 & 5 are the events.

E =< 5
R = 6
N = 21

Answer is 6/21 or 0.2857 or 28.57% of being a total of 5 or less.

2) Assuming no jokers and assuming that 2's and below and 8's and above are NOT included.

First card:
2 < E < 8
R = 20 = 52 - (4 A's + 4 2's + 4 8's + 4 9's + 4 10's + 4 J's + 4 Q's + 4 K's)
N = 52

Probability: 20/52 or 0.3846 or 38.46%

Second card would have 51 cards to pick from, ergo:

Assuming card 1 met criteria: 19/51 or 0.3725 or 37.25%

If card 1 met criteria: 0.3846 * 0.3725 = 0.14326 or 14.326% chance of getting two consecutive cards that met the conditions.

3) Starting with AAAAA000 and going through to ZZZZZ999 there are a possible 11,881,376,000 combinations.

26 letters in first position * 26 letters in second position * 26 letters in third position * 26 letters in fourth position * 26 letters in fifth position * 1000 different numbers for each letter set

For R then, there are a possible 1,142,440,000 possible codes that meet the condition of a vowel in the first letter position and an even number in the last letter position.

5 vowels in first position * 26 letters in second position * 26 letters in third position * 26 letters in fourth position * 26 letters in fifth position * 500 numbers that are even for each letter set

Probability: 1,142,440,000 / 11,881,376,000 or 0.09615 or 9.615%

4) 69 students took history of which 35 took math as well. So, 69 - 35 = 34 students that took history alone.

E = history alone
R = 34
N = 100

Probability: 34/100 or 0.34 or 34% chance of selecting a student that took history alone.

5 ) bragging rights just aren't worth it any more.... LOL, too many questions! I surrender, gonna go gaming.

Hope those answers helped out a bit! )

List Of The Top 10 Online Games For Beginners And Expert Casino Players

Online casinos consists of just about all the main games found in a real casino. As a matter of fact, online casinos can provide various types of one game to make it more thrilling and fun. It is difficult to ascertain which casino game is best but here are the top 10 online games both for beginners and advanced casino players.

 

Poker

 

There are a lot of casinos that have poker rooms available so you can simply use your casino account and enjoy yourself at the poker tables. Poker belongs to the top 10 online games because it can be enjoyed by beginners and professionals alike.

 

Because you will be competing against other players, no house is needed in poker. For people just starting out, poker is highly thrilling. On the other hand, professionals find this game greatly profitable.

 

Blackjack

 

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Skill and luck is both a part of the game Blackjack. The top 10 online games wouldn't be whole if Blackjack wasn't a part of it. Since the house edge is minimal in Blackjack, the chance of beating the house increases if you have the right approach and bankroll management.

 

Slots

 

This game is probably the most popular casino game especially for beginners. You don't have to possess any special skills and it all depends on luck. Slots are very intriguing since you don't have knowledge of if you are going to win a lot or lose or a lot. Because it is very easy to play, even those with no gambling experience can play this game.

 

Roulette

 

One of the earliest casino games to arrive, Roulette, is regarded as a top-notch game. The principle of luck is really evident at Roulette games particularly if it's the house your playing against. The casinos also hold significant advantage at every Roulette table but players can win big if they get lucky. Roulette can definitely not be withheld from the list of top 10 online games for beginners and high-stake gamblers.

 

Craps

 

Although this games depends largely on luck, you also need to time the rolling of the dice accurately. There is a chance to profit from this game since the house edge on crap table is pretty minimal. It's important to know the rules that way you manage your bets better. This game is best for high rollers.

 

Baccarat

 

This is labelled as the game of kings. The Dealer in Baccarat can be beaten with the right strategy. You need to acknowledge that the house has a better position in this game so you need to educate yourself in bankroll management. Because of its simplicity and class, Baccarat should always belong to the top 10 online games.

 

Video Poker

 

Video Poker is simple to play and great for beginners since it lets those who are just starting out with poker to learn the winning hands from the least value single pair to the highest value, the royal flush. The player gets to go against the computer and not a real player so there is no pressure on the player in this area.

 

Caribbean Stud

 

Caribbean Stud can also be regarded as one of the most popular casino games. A step up from video poker in that multiple players are playing against the dealers hand. You are still not competing against other players, only against the dealer. You can gain a lot of profit in this game since the house edge in Caribbean Stud is huge.

 

War

 

Was is derived from a children's game in which was then revised for the casino. Meaning, there isn't a lot of skill needed in War so it's great for beginners of casinos. All the player need to do is recognize which of two cards has a higher value.

 

Keno

 

Keno is another game that is highly favorable with new casino players. It has a style of lottery in which the player pick some numbers and casino selects the winning numbers. If the numbers you choose matches any of the casino winning draw numbers, you win at the least the winning bet and more. It counts on the amount of numbers matched. Again, the ease of this game is what makes this game popular.

 

Playing each of these games is very simple and you can also gain a lot of profits if you are lucky. For this reason, all of these games should be part of the list of top 10 online games for casino players.

Read more about the top 10 online games at the Casino Gamblers Guide casino offers guide for more online gambling advice and bonus offers.

About the Author

Writing articles on the casino gambling industry.