The following diagram describes the number of museums and beaches visited by the Santos family while on vacation. What is the ra
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Given that the hot chocolate is made of 480 grams of milk and 20 grams of cacao.
We need to determine the percentage of cacao in hot chocolate.
<u>The percentage of cacao:</u>
The total grams of hot chocolate can be determined by adding the total grams of milk and the total grams of cacao.
Total grams of hot chocolate = Grams of Milk + Grams of cacao
Total grams of hot chocolate = 480 + 20 = 500 grams.
Thus, the total grams of hot chocolate is 500 grams.
Now, we shall find the percentage of cacao.
The percentage of cacao is given by
Simplifying, the values, we get,
Thus, the percentage of cacao is 4%
This is an example of conditional probability because we are trying to find the probability of an event occurring GIVEN the occurrence of some other event. There is a formula for this (see image attached).
If we follow this formula, the numerator would be the probability of (A AND B) which in this case is "48% of the class passed BOTH exams." The denominator in the formula would be that "60% of the class passed ONLY THE SECOND exam."
Therefore, P(A and B) = 0.48, which is 48% expressed as a decimal and P(B)= 0.60, which is 60% expressed as a decimal. Then, you can figure out the answer by dividing.
If we follow this formula, the numerator would be the probability of (A AND B) which in this case is "48% of the class passed BOTH exams." The denominator in the formula would be that "60% of the class passed ONLY THE SECOND exam."
Therefore, P(A and B) = 0.48, which is 48% expressed as a decimal and P(B)= 0.60, which is 60% expressed as a decimal. Then, you can figure out the answer by dividing.