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A number line contains points Q, R, S, and T. Point Q is on the coordinate 4, R is on the coordinate 8, S is on the coordinate 9, T is on the coordinate 12. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.

A25%
B37.5%
C44%
D51.5%

Verified Answer :

irspow

length of ST / length of QT

3/8

Answer:

B. 37.5%

Step-by-step explanation:

We are given that,

Co-ordinate of point Q = 4

Co-ordinate of point R = 8

Co-ordinate of point S = 9

Co-ordinate of point T = 12

It is required to find the probability of a point chosen at random on QT which  lies on ST.

So, we have,

Distance of line QT = 12 - 4 = 8

Distance of line ST = 12 - 9 = 3

Then, the required probability = \(\frac{3}{8}\) = 0.375 or 37.5%

Hence, the probability of a point chosen at random on QT which  lies on ST is 37.5%

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