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MAVERICK [17]
3 years ago
15

If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she

will win first prize
Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

Answer: \dfrac{11}{12}

Step-by-step explanation:

Given

The odds against winning in a chess tournament are 1 to 11.

Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.

\therefore \text{Probability that event will occur is P'=}\dfrac{1}{1+11}\\\\\Rightarrow P'=\dfrac{1}{12}

Probability of non-occurrence i.e. she wins the first prize is

\Rightarrow P=1-\dfrac{1}{12}\\\\\Rightarrow P=\dfrac{11}{12}

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3 years ago a father was 3 times as old as his son, in five years time he will be twice as old as his son, what will be the sum
ivolga24 [154]

Answer: 46 years

Step-by-step explanation:

Let the father's age be x and the son's age be y, then 3 years ago:

Father = x - 3

son     = y - 3

Then , from the first statement :

x - 3 = 3 ( y - 3 )

x - 3 = 3y - 9

x     = 3y - 9 + 3

x     = 3y - 6 .......................................... equation 1

In five years time

father = x + 5

son = y + 5

Then , from the second statement

x + 5 = 2 ( y + 5 )

x + 5 = 2y + 10

x       = 2y + 10 - 5

x       = 2y + 5 ........................ equation 2

Equating equation 1 and 2 , we have

3y -6 = 2y + 5

add 6 to both sides

3y = 2y + 5 + 6

subtract 2y from both sides

3y - 2y = 11

y = 11

substitute y = 11 into equation 1 to find the value of x

x = 3y - 6

x = 3(11) - 6

x = 33 - 6

x = 27

This means that the father is presently 27 years and the son is presently 11 years.

In four years time

father = 27 + 4 = 31

son = 11 + 4      = 15

sum of their ages in four years time will be

31 + 15 = 46 years

5 0
3 years ago
Read 2 more answers
A baseball team has 4 ​pitchers, who only​ pitch, and 16 other​ players, all of whom can play any position other than pitcher. F
ivolga24 [154]

Answer:

2,075,673,600 batting orders may occur.

Step-by-step explanation:

The order of the first eight batters in the batting order is important. For example, if we exchange Jonathan Schoop with Adam Jones in the lineup, that is a different lineup. So we use the permutations formula to solve this problem.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

First 8 batters

8 players from a set of 16. So

P_{(16,8)} = \frac{16!}{(16 - 8)!} = 518918400

Last batter:

Any of the four pitchers.

How many different batting orders may​ occur?

4*518918400 = 2,075,673,600

2,075,673,600 batting orders may occur.

5 0
3 years ago
The temperature in a potter's kiln dropped 760 degrees in 4 hours.on what average,how much did the temperature drop per hour?
Elena L [17]
76 divided by 4 is 19. Add a zero and the answer is 190.
Hope this helps you !!
7 0
3 years ago
Out of 30 questions, Ahmad answer 12 of them incorrectly. What percent of the questions did he answer correctly?
kati45 [8]
First, you would need to determine how many questions he got correct. 
30 - 12 = 18

Next, you would need to create an equation for this problem. Let x represent the unknown percentage. 
\frac{18}{30} = \frac{x}{100}

Now, you would cross multiply. 
30x = 1,800

The last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 30. 
x = 60

Ahmad got 60% of the questions correct. 

I hope this helps!
7 0
3 years ago
PLEASE HELP!!!!!!!!!!!!
Dafna11 [192]

Answer:

10

Step-by-step explanation:

7 0
3 years ago
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