The probability of the event P(A is on [tex]\bar{DE}[/tex]) is 9/26.
Probability:
Probability defines the possibility of the event.
And it can be calculated as,
Probability = favorable event / total event
Given,
Point A is chosen at random on [tex]\bar{BE}[/tex].
Here we need to find the the probability of the following event.
P(A is on [tex]\bar{DE}[/tex]).
Let us consider the following image, in order to solve this.
Based on the image we have identified that the probability of the event P(A is on [tex]\bar{DE}[/tex]) is calculated by dividing the length of DE by the length of BE.
So, the probability of the event P(A is on [tex]\bar{DE}[/tex]) is,
P(A is on [tex]\bar{DE}[/tex]) = (length of DE) / (length of BE)
Apply the values then we get,
P(A is on [tex]\bar{DE}[/tex]) = 9 / ( 5 + 12 + 9)
P(A is on [tex]\bar{CD}[/tex]) = 9 / 26
Therefore, the probability of the event P(A is on [tex]\bar{DE}[/tex]) is 9/26.
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