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postnew [5]
3 years ago
7

Write a number between 50 and 70 the number divisble by 3 and has exactly 6 factors

Mathematics
1 answer:
Katena32 [7]3 years ago
4 0
Ummm maybe it’s 60????
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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,
zysi [14]

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

5 0
3 years ago
You can choose from groups of 2, 3, or 5 balloons, and you can choose to have them tied together with either a red ribbon or a b
vesna_86 [32]
6 different outcomes
5 0
2 years ago
Kelso is in charge of a bake sale. On each table, t, there will be a platter of 24 cookies and 2 bowls of brownies with b browni
Phantasy [73]
24*7 = 168
(2*12)*7=168
168*2=336

336 Total sweets

8 0
3 years ago
Reese loves to drink healthy green smoothies a 16 oz serving of smoothie has 170 calories how many calories are in a 24 oz smoot
LuckyWell [14K]

Answer:

255

Step-by-step explanation:

170/16 = 10.625

10.625 x 24 = 255

6 0
3 years ago
Find the distance between the points (0, 2) and (4, 5).
miv72 [106K]

Answer:

3/4

Step-by-step explanation:

8 0
3 years ago
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