Answer:
5/13
Explanation:
In geometric probability, the probability of an event is based on a ratio of geometric measures such as length or area.
A length model is used to demonstrate geometric probability here. The sample space is given as PS. The lengths of the line segments forming the sample space are given.
To find the probability of choosing a point on line segment RS, determine the ratio of the length of RS to the length of the sample space.
Find the length of the sample space, PS, as the sum of the lengths of the segments PQ, QR, and RS.
PS = PQ + QR + RS
Substitute the given values.
PS = 2 + 6 + 5 = 13
Therefore, PS = 13.
The probability of the event is P= RS / PS.
Substitute the known values.
P = 5 / 13
Therefore, the probability of the event is 5 / 13.