1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marta [7]
3 years ago
10

A poker hand is a set of 5 cards randomly chosen from a deck of 52 cards. Find the probability of a (a) royal flush (ten, jack,

queen, king, ace in a single suit). (b) straight flush (five in a sequence in a single suit, but not a royal flush). (c) four of a kind (four cards of the same face value). (d) full house (one pair and one triple, each of the same face value). (e) flush (five cards in a single suit but not a straight or royal flush). (f) straight (five cards in a sequence, not all the same suit). (Note that in straights, an ace counts high or low.) g
Mathematics
1 answer:
zysi [14]3 years ago
5 0

Answer:

a) 0.000001539

b) 0.00001385

c) 0.0002401

d) 0.001441

e) 0.001966

Step-by-step explanation:

Since there are 52 deck of cards, and the hand of the poker is 5 set, then the total number of hands achievable would be

T = 52! / 5!(52 - 5)!

T = 52! / 5! 47 !

T = 2598560 possibilities.

a) There are 4 ways of getting a royal flush. So the probability of getting a royal flush is

4 / 2598560 =

0.000001539

b) There are 9 hands from the 5 card hands, and also, there are 4 possible suits. So then, the probability is

9 * 4 / 2598560 =

36 / 2598560 =

0.00001385

c) There are 13 possible ways to get a four of a kind, since there are 5 cards with the poker, the remaining would be taken from the 48 remaining cards, thus

13 * 48 / 2598560 =

624 / 2598560 =

0.0002401

d) 3 of a kind in conjunction with a pair is needed to form a full house. This 3 of a kind can be gotten from any 4 suits. Then again, the pair has two cards with the same face value. So,

4! / 2! (4 - 2)! =

4! / 2! 2! = 6

That means, there are 6 possible ways to get our needed suits. Then, the probability of getting a full house is

13 * 4 * 12 * 6 / 2598560 =

3744 / 2598560 =

0.001441

e) To get a flush, all the 5 cards in the hand needs to have the same suit. Now, there are 13 different types of cards with only 5 cards being in the hand, thus

13! / 5! (13 - 5)! =

13! / 5! 8! = 1287

Now, recall that the question specifically asked us not to include any straight. There are 10 straights that can be gotten, and thus, we subtract it.

1287 - 10 = 1277

Since there are 4 suits, the probability of getting a flush is

1277 * 4 / 2598560 =

5108 / 2598560 = 0.001966

You might be interested in
Need Help (: Help me pls Brainly dont take
joja [24]
$171.45

135 x 0.27 + 135
8 0
3 years ago
55 people showed up on a party.There were 3 less women than men.how many men were there?​
Anika [276]

Answer:

52

Step-by-step explanation:

55 - 3 = 52

give me brainiest wink wink

6 0
3 years ago
Read 2 more answers
What the answer question
algol [13]

Answer:

∠WUV

Step-by-step explanation:

Start from the top, the meeting point of the rays is the angle U

5 0
3 years ago
There were 64 basketball games during the ncaa tournament. 16 of those games were decided by 3 points or less. What percentage o
liubo4ka [24]

Answer:

25%

Step-by-step explanation:

Form the fraction 16/64, evaluate it (obtaining 1/4) and multiply this result by 100%.  This results in 25%.

25 % of the games played were decided by 3 points or less

5 0
3 years ago
Look at pic and solve
Brilliant_brown [7]

Answer:

Yes it can be solved.

Step-by-step explanation:

I did this stuff in like 4th grade lollll

5 0
3 years ago
Other questions:
  • If x and y vary directly and x= 60 when y=5, what is the value of y when x=36?
    9·1 answer
  • What are the odds of picking an "a" in the word Georgia?
    15·2 answers
  • Let U = {1, 2, 3, 4, 5, 6, 7}, A= {1, 3, 4, 6}, and B= {3, 5, 6}. Find the set A’ U B’
    9·1 answer
  • How many rotatuons are there in 1008 degrees (round to the nearest tenth)​
    6·1 answer
  • kasha reads 60 pages in 1 5/12 hour. Kasha wants to read 120 pages. how many hours in all will it take him to read 120 pages?​
    14·1 answer
  • Use the Distributive Property to simplify.<br> -(5t+8p+13cw)
    6·2 answers
  • Can someone help me with this please <br> I’ll mark as brainliest
    6·1 answer
  • Jack has twice as many dimes as quarters. If the total value of the coins is $6.30, how many dimes does he have?
    14·1 answer
  • WILL GIVE BRAINLEST plz help meeeeeeeee
    13·1 answer
  • ACTIVITY 1: LET'S PRACTICE!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!