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Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.
The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.
<h3>What is the hypergeometric distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There is a total of 3 + 4 = 7 marbles, hence N = 7.
- Of those, 3 are blue, hence k = 3.
- 2 marbles will be taken, hence n = 2.
The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:
Hence:
0.4286 = 42.86% probability of getting 2 of the same colour.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951
Amount of flour used in bread recipe = cups
Amount of flour used in muffin recipe = cups
We have to determine how much more flour is in the recipe.
Since, more amount of flour is used in bread recipe than in muffin recipe.
Total amount of more flour =
=
=
=
Therefore, more cup of flour is used in bread recipe than in muffin recipe.
Now, we will determine the total amount of flour used in both recipe.
Total amount of flour used in bread and muffin recipe
=
=
=
= 6 cups
Therefore, total 6 cups of flour are used in both the recipes.
Step-by-step explanation:
profit%=
=36%