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VladimirAG [237]
2 years ago
11

How to calculate a probability

Mathematics
1 answer:
Lelu [443]2 years ago
6 0
Probability is calculated by comparing the odds to a certain event occurring to the number of possible events.

P=\frac{possibility-of-an-event-occuring}{number-of-total-outcomes}

For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.

P(4)=1/6

Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:

1
2
3
4
5
6

Of the 6 possibilities, 3 are even numbers.

P(even)=3/6 or 1/2
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What is the slope of the line shown below?
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Answer:

2

Step-by-step explanation:

Slope is often called rise/run.

This is the amount the line goes upwards, rise, compared to the amount it goes sideways, run.  

Compare the two shown points.  From the left point the the right, the rise is 6, while the run is 3, creating the rise/run of 6/3.  This is simplified to 2.

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You start driving north for 16 miles, turn right, and drive east for another 30 miles. At the end of driving, what is your strai
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The distance between starting and ending point is 34 miles.

Step-by-step explanation:

Given,

Car moves 16 miles to north then 30 mile to east.

It forms a right angle triangle.

The straight line distance from starting to ending point represents hypotenuse.

To find the distance between starting and ending point.

Formula

By <em>Pythagoras theorem,</em>

h² = b²+l² where h is the hypotenuse, b is base and l is the another side.

Taking, b=16 and l=30 we get,

h² = 16²+30²

or, h = \sqrt{256+900}

or, h = \sqrt{1156} = 34

Hence,

The distance between starting and ending point is 34 miles.

5 0
3 years ago
70% of kids who visit a doctor have a fever, and 40% of kids who visit a doctor have a sore throat. If the probability that a ki
krek1111 [17]

Answer:

52.5%

Step-by-step explanation:

Let A be kids who have a fever, and B be kids who have a sore throat, so

Based on the given information we have

P(A) = 70%, P(B) = 40%, and P(B|A) = 30%   (B|A is read as "B given A", which means probability of B happening given that A has already happened)

We are asked to find P(A|B), the probability of a kid having a fever given that we already know he has a sore throat.

Step 1:  First find P(A and B), this is the probability of a kid having both a fever and a sore throat.  We use the formula

        P(B|A) = P(A and B)/P(A)    

We have 2 of these values listed above, so we plug them in...

       30% = P(A and B)/70%

 This give us a value for P(A and B) which equals 21%  [multiply both sides by 70% to isolate P(A and B), (30%)(70%) = 21%]

Now we flip the equation to P(A|B), which is

     P(A|B) = P(A and B)/P(B)

We have 2 of the values, so we plug them in...

     P(A|B) =  21%/40%

  This gives us a value of 52.5%   (divide 21% by 40%)  

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Answer:

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