Question

A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.
A. 25%
B. 42.2%
C. 50%
D. 72.2%

Answer 1

$|\Omega|=QT=42-24=18\\ |A|=ST=42-29=13\\\\ P(A)=\dfrac{13}{18}\approx72.2\%\Rightarrow \text{D}$

Answer 2

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

A number line contains points Q, R, S, and T

Point Q is on the coordinate 24

Point R is on the coordinate 28

Point S is on the coordinate 29

Point T is on the coordinate 42

So, According to given condition,

QT is on the coordinate is given by

$42-24=18$

ST is on the coordinate is given by

$42-29=13$

So, probability that a point chosen at random on QT is on ST is given by

$\frac{13}{18}\times 100\\\\=72.22\%$

Hence, option 'D' is correct.