What is the integer?
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The total number of possible choices that John had for making baked goods for the party is 8.
<h3>What is Combination?</h3>The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
where,
n is the number of choices available,
r is the choices to be made.
We know that the number of choices with John for his baked goods is only two which are muffins or bread, therefore, the choices of the baked good can be written as .
Also, the number of choices with John for flavors is four which are blueberries, bananas, apples, or chocolate chips, therefore, the choices of the flavor can be written as .
Now, the total possible choices that John had
= The choices of the baked good x The choices of the flavor
Hence, the total number of possible choices that John had for making baked goods for the party is 8.
Learn more about Combination:
Answer:
The probability of getting two of the same color is 61/121 or about 50.41%.
Step-by-step explanation:
The bag is filled with five blue marbles and six red marbles.
And we want to find the probability of getting two of the same color.
If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.
In other words, we can find the independent probability of each case and add the probabilities together*.
The probability of getting a red marble first is:
Since the marble is replaced, the probability of getting another red is:
The probability of getting a blue marble first is:
And the probability of getting another blue is:
So, the probability of getting two of the same color is:
*Note:
We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.