Chapter 13, Problem 20RP

(a)

To determine

To find: The probability that both the points lie in the first quadrant.

Answer to Problem 20RP

The probability is $\frac{6}{10}$ .

Explanation of Solution

Given:

The given points are $\left(2,1\right),\left(6,4\right),\left(5,17\right),\left(-2,-2\right)$ and $\left(2,10\right)$ .

Calculation:

Consider the given points are $\left(2,1\right),\left(6,4\right),\left(5,17\right),\left(-2,-2\right)$ and $\left(2,10\right)$ .

From the given points that the probability that the points are in the first quadrant is,

  $\frac{6}{10}$

(b)

To determine

To find: The probability that both their lie another point that is collinear with the two.

Answer to Problem 20RP

The probability is $\frac{3}{10}$ .

Explanation of Solution

Given:

The given points are $\left(2,1\right),\left(6,4\right),\left(5,17\right),\left(-2,-2\right)$ and $\left(2,10\right)$ .

Calculation:

Consider the given points are $\left(2,1\right),\left(6,4\right),\left(5,17\right),\left(-2,-2\right)$ and $\left(2,10\right)$ .

From the given points that the probability that both their lie another point that is collinear with the two is,$\frac{3}{10}$