Two non-simultaneous events have an equal likelihood of occurring (50%). If the events are independent of each other, what is th
2 answers:
Answer: Probability that they will both occur is 25%.
Step-by-step explanation:
Since we have given that
There are two non simultaneous events.
Probability of each event = 50%
Since both are independent to each other.
Let A and B be two events.
We need to find the probability that they will both occur i..e P(A∩B).
As we know the rule of independence of events:
Hence, Probability that they will both occur is 25%.
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Let us take a random triangle we call for a better understanding of the solution provided here.
A diagram of the is attached here.
The rule to be applied here is the relationship between the side lengths of a triangle and the angles opposite those sides. This relationship states that:
In a triangle, the shortest side is always opposite the smallest interior angle and the longest side is always opposite the largest interior angle.
Let us verify this using the diagram attached.
As per the diagram, the smallest interior angle is and the side opposite to it,
has the smallest side just as the relationship had suggested.
Likewise, the largest interior angle is and the side opposite to it, LM=45.7 is the longest side just as the relationship had suggested.
This rule/relationship can be applied to any triangle in question.
