Chapter 8.1, Problem 27PSD

To determine

To find: The probability of the ratios being equal.

Answer to Problem 27PSD

Probability of ratios is equal = $\frac{1}{3}$

Explanation of Solution

Given information Two ratios are formed from the four numbers 1, 2, 4 and 8

Formula used Probability

= $\frac{\text{Number of ratios are equal}}{\text{Total number of ratios can be formed}}$

Calculation:

From the given numbers 1, 2, 4 and 8, we have

No. of ratios are equal are 4, i.e., $\left(\frac{1}{2},\frac{4}{8}\right),\left(\frac{1}{4},\frac{2}{8}\right),\left(\frac{2}{1},\frac{8}{4}\right)\text{and}\left(\frac{4}{1},\frac{8}{2}\right)$

Total no. of ratios can be formed are 12

Thus,

Probability of ratios is equal = $\frac{4}{12}=\frac{1}{3}$