The probability that a point on JM is placed first on JL and a second point is placed on KL is option (D) 15/64 is the correct answer.
Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
The line segment has a point JM with coordinates -2 and 14.
The points k has a coordinate of 2 and L has a coordinate of 8.
The distance, number of points between JM is
⇒ [tex]JM = 14-(-2)[/tex]
⇒ [tex]JM=14+2[/tex]
⇒ [tex]JM=16[/tex]
The distance, number of points between JL is
⇒ [tex]JL=8-(-2)[/tex]
⇒ [tex]JL=8+2[/tex]
⇒ [tex]JL=10[/tex]
The distance, number of points between KL is
⇒ [tex]KL=8-2[/tex]
⇒ [tex]KL=6[/tex]
The probability that a point on JM is placed first on JL and a second point is placed on KL is
⇒ [tex]P(e) =(\frac{ JL}{JM})(\frac{ KL}{JM})[/tex]
⇒ [tex]P(e) =(\frac{ 10}{16})(\frac{ 6}{16})[/tex]
⇒ [tex]P(e) =\frac{ 15}{64}[/tex]
Hence we can conclude that the probability that a point on JM is placed first on JL and a second point is placed on KL is option (D) 15/64 is the correct answer.
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