Chapter 1.9, Problem 10PSB

To determine

The probability that point B selected on AC is from $-5\text{ to 7}$

Answer to Problem 10PSB

  $\text{Probability that point }B\text{ is between }A\text{ and }C\text{ =}\frac{13}{29}$

Explanation of Solution

Given information:

Point “A” coordinate is -20 and point C coordinate is 10.

Formula used:

  $\begin{array}{l}Probabilityofaevent=\frac{possiblenumberofoutcomes}{totalnumberofoutcomes}\\ \end{array}$

Calculation:

Number of total integer points between A and C is $=29$

Number of possible integer points for B from $-5\text{ to 7 =13}$

  $\begin{array}{l}Probabilityofaevent=\frac{possiblenumberofoutcomes}{totalnumberofoutcomes}\\ \end{array}$

  $\text{Probability that point }B\text{ is between }A\text{ and }C\text{ =}\frac{13}{29}$

  $$