4va olleckpoiniDiscrete Mathematics OL v1 A - Koscianski, Megan / Chapter 2: Set TheoryRD 2. Use the accompanying Venn diagram t
hat shows the number of elements in regions I through IV to answer the question.10MHow many elements belong to neither set A nor set B?BU Font FamilyAAIFEEOOOE•"'NE
1 answer:
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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.
Answer:
The term was obtained by grouping and adding the all x terms in the expression.
Step-by-step explanation:
The example has already provided this step:
(x -4) +(x +1) +(¼x +5)=
Thus, the question is asking how is derived from the expression.
The attached picture shows the intermediate working to arrive at the final perimeter expression.
This expression is later equated to 20 since it is given that the perimeter of the traingle is 20 inches.
