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If it's like this:

"There are 4 books in a bag and two of the four are fiction. Jess randomly pulls one out of the bag and replaces it. What is the probability of getting two fiction books?"

Then you should do this, 2/4 x 2/4 = 4/16 or 1/4

If it's like this:

"There are 4 books in a bag and two of the four are fiction. Jess randomly pulls one out of the bag and doesn't replace it. What is the probability of getting two fiction books?"

Then you should do this, 2/4 x 1/3 = 2/12 or 1/6

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Q: When finding the probability of two or more events what should you do with the fractions?
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Continue Learning about Statistics

Should the numbers for the experimental probability be close to the theoretical probability?

Not necessarily. There may not even be a way to work out a theoretical probability. Furthermore, there is always a chance, however small, that the experimental probability is way off.


What are the characteristics a standard normal probability distribution?

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What is the probability that the sum of the numbers from two rolled dice result in a perfect square or even number?

Part1: Finding probability of getting sum as a perfect square. Maximum sum of both the dice is (6+6) equal to 12. Up to 12, the perfect squares are: 1, 4 and 9. Getting a sum of 1 from two dice is not possible. So, we are left with 4 and 9. To get 4, the combination can be: (2,2) or (1,3) or (3,1). This means, to get the sum as 4, the probability is [3/36]. To get 9, the combination can be: (3,6) or (6,3) or (5,4) or (4,5). This means, to get the sum as 9, the probability is [4/36]. Therefore,the total probability of getting the sum as a perfect square is: [(3/36)+(4/36)]=[7/36]. Part2: Finding the probability of getting sum as an even number. The possible even numbers can be 2, 4, 6, 8, 10 and 12. But, as 4 is already considered in part1, it should be ignored in this case. The probability of getting sum as 2 is: [1/36] The probability of getting sum as 6 is: [5/36] The probability of getting sum as 8 is: [5/36] The probability of getting sum as 10 is: [3/36] By adding all the above, the probability of getting sum as an even number (ignoring 4) is: [(1/36)+(5/36)+(5/36)+(3/36)]=[14/36]. From part 1 and part 2, we get the total probability as [(7/36)+(14/36)]=[7/12]=0.583333.


What is the probability of rolling a die and getting a 3 the first time?

There are 6 sides on a die, so the denominator should be 6. The number 3 appears on the dice once, so the fraction probability should be 1/6.


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Why should you find a LCM?

Finding an LCM will help when you want to add and subtract fractions.


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It is 0.5 becasue the events are (or should be) independent.


Should all improper fractions be converted to mixed fractions?

Yes they should


How do you do quotient with fractions?

if you can divide whole numbers, turn the fraction into a whole number by finding its equivalent and replacing the fraction with that equivalent. Then divide the new number which should be whole and you have your answer.


When adding or subtracting fractions what should you do first?

For adding or substracting fractions first of all we should calculate the LCM( Lowest Common Multiplier) of the denominators in both of the fractions.


What do i do with the remainders when dealing with fractions?

You should not have any remainders in fractions!


What is experimental probability vs theoretical probability?

Theoretical probability is what should occur (what you think is going to occur) and experimental probability is what really occurs when you conduct an experiment.


What is theoretical proablity?

Theoretical probability- what the probability "should be" if all outcomes are equally likely.


How do renaming fractions help you find distances between fractions?

it helps you find the distance between fractions because the new name should be an equivalent fraction. Therefore it should be able to be divided\multiplied by 2 to make the original number.


How does remaining fractions help you find distances between fractions?

it helps you find the distance between fractions beacause the new name should be an equivalent fraction


Should the numbers for the experimental probability be close to the theoretical probability?

Not necessarily. There may not even be a way to work out a theoretical probability. Furthermore, there is always a chance, however small, that the experimental probability is way off.


How does the experimental probability of making purple compared with the theoretical probability of making purple?

It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.