Chapter 13, Problem 17SGR

(a)

To determine

Find the probability that O sits between M and P.

Answer to Problem 17SGR

  $\frac{2}{9}$

Explanation of Solution

Given:

M, P , C, and T are sitting on the side of a pool in that order.M is 2 feet from P . P is 4 feet from C. C is 3 feet from T . O joins them .

Calculation:

Represent the given situation :

M 2 ft. P 4 ft. C 3 ft. T

Total distance between M and T = 2 + 4 + 3 = 9 ft.

Distance between M and P = 2 ft.

So, the probability that O will sit between M and P =

  $P(\text{between M and P})=\frac{\text{favourable distance}}{\text{total distance}}=\frac{2}{9}$

(b)

To determine

Find the probability that O sits between P and T.

Answer to Problem 17SGR

  $\frac{7}{9}$

Explanation of Solution

Given:

M, P , C, and T are sitting on the side of a pool in that order.M is 2 feet from P . P is 4 feet from C. C is 3 feet from T . O joins them .

Calculation:

Represent the given situation :

M 2 ft. P 4 ft. C 3 ft. T

Total distance between M and T = 2 + 4 + 3 = 9 ft.

Distance between P and T = 4 + 3 = 7 ft.

So, the probability that O will sit between P and T =

  $P(\text{between P and T})=\frac{\text{favourable distance}}{\text{total distance}}=\frac{7}{9}$