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makkiz [27]
3 years ago
15

In a game of poker a hand of five cards is dealt to each player from a deck of 52 cards. find the probablility of a hand contain

ing a spade flush.
Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Answer:

0.00597

Step-by-step explanation:

Given,

Total number of cards = 52,

In which flush cards = 20,

Also, the number of spade flush cards = 5,

Since,

\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Thus, the probability of a hand containing a spade flush, if each player has 5 cards

=\frac{\text{Ways of selecting a spade flush card}}{\text{Total ways of selecting five cards}}

=\frac{^{20}C_5}{^{52}C_5}

=\frac{\frac{20!}{5!15!}}{\frac{52!}{5!47!}}

=\frac{15504}{2598960}

= 0.00597  

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nalin [4]
Parallel bc the slopes the same!
4 0
3 years ago
Kindly answer this one. Thank you.​
steposvetlana [31]

Answer:

See below.

Step-by-step explanation:

I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.

♦  The midline's length is the average of the lengths of the top and bottom parallel sides.

AL=\frac{OR+CE}{2}

Use this equation and substitute values given in each problem, then solve for the missing information.

1. AL = x, CE = 9, OR = 5

x=\frac{9+5}{2}=7

2. AL = <em>m</em> - 4, CE = 15, OR = 17

m-4=\frac{15+17}{2}=16\\\\m-4=16\\\\\\m=20\\\\AL=20-4=16

3. OR = y + 5, AL = 15, CE = 18

15=\frac{(y+5)+18}{2}\\\\15=\frac{y+23}{2}\\\\30=y+23\\\\7=y\\\\OR = 7+5=12

4 0
2 years ago
Help me plz!!!!!!!!!!!
svetlana [45]
The first one is the answer
7 0
3 years ago
Read 2 more answers
The ratio of girls to boys is 4:5 if there are 27 total students how many are girls? Boys?
kompoz [17]
4/9 x 27 = girls
12 girls


5/9 x 27 = boys
15boys
4 0
3 years ago
a recent survey determained that 7 out of 9 students eat school lunch at least once a week. if 54 students were surveyed how man
Setler [38]

Answer:

12 students

Step-by-step explanation:

Given

Students = 54

Required

Determine the number of students that eat lunch once a week

In Sets;

If out of 9, at least 7 eats one a week then

9 - 7 eats lunch once a week

9 - 7 = 2

<em>In other words;</em>

2 out of 9 students eat lunch once a week

Number of students in this category is then calculated as thus;

Number = \frac{2}{9} * 54

Number = \frac{2 * 54}{9}

Number = \frac{108}{9}

Number = 12

3 0
3 years ago
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